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Finding the Fourth Proportional to 732.24, 1,088.55 and 714.24

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Solution

The fourth proportional to 732.24, 1,088.55 and 714.24 is: 1,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.24 : 1,088.55 = 714.24 : x
  2. Step 2: Convert to fraction form
    732.24/1,088.55 = 714.24/x
  3. Step 3: Cross multiply
    732.24x = 1,088.55 × 714.24
  4. Step 4: Simplify right side
    732.24x = 777,485.95
  5. Step 5: Solve for x
    x = 777,485.95/732.24
  6. Step 6: Final answer
    x = 1,061.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.