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Finding the Fourth Proportional to 884.19, 1,220.32 and 535.08

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Solution

The fourth proportional to 884.19, 1,220.32 and 535.08 is: 738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.19 : 1,220.32 = 535.08 : x
  2. Step 2: Convert to fraction form
    884.19/1,220.32 = 535.08/x
  3. Step 3: Cross multiply
    884.19x = 1,220.32 × 535.08
  4. Step 4: Simplify right side
    884.19x = 652,966.15
  5. Step 5: Solve for x
    x = 652,966.15/884.19
  6. Step 6: Final answer
    x = 738.49

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Half scale
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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.