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Finding the Fourth Proportional to 928.44, 1,280.84 and 535.23

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Solution

The fourth proportional to 928.44, 1,280.84 and 535.23 is: 738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.44 : 1,280.84 = 535.23 : x
  2. Step 2: Convert to fraction form
    928.44/1,280.84 = 535.23/x
  3. Step 3: Cross multiply
    928.44x = 1,280.84 × 535.23
  4. Step 4: Simplify right side
    928.44x = 685,541.32
  5. Step 5: Solve for x
    x = 685,541.32/928.44
  6. Step 6: Final answer
    x = 738.38

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Half scale
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Double scale
Find fourth proportional to 929.44, 1,282.21 and 536.23
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.