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Finding the Fourth Proportional to 698.10, 962.32 and 532.02

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Solution

The fourth proportional to 698.10, 962.32 and 532.02 is: 733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.10 : 962.32 = 532.02 : x
  2. Step 2: Convert to fraction form
    698.10/962.32 = 532.02/x
  3. Step 3: Cross multiply
    698.10x = 962.32 × 532.02
  4. Step 4: Simplify right side
    698.10x = 511,973.49
  5. Step 5: Solve for x
    x = 511,973.49/698.10
  6. Step 6: Final answer
    x = 733.38

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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.