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Finding the Fourth Proportional to 830.21, 1,145.48 and 535.13

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Solution

The fourth proportional to 830.21, 1,145.48 and 535.13 is: 738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.21 : 1,145.48 = 535.13 : x
  2. Step 2: Convert to fraction form
    830.21/1,145.48 = 535.13/x
  3. Step 3: Cross multiply
    830.21x = 1,145.48 × 535.13
  4. Step 4: Simplify right side
    830.21x = 612,976.32
  5. Step 5: Solve for x
    x = 612,976.32/830.21
  6. Step 6: Final answer
    x = 738.34

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Double scale
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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.