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Finding the Fourth Proportional to 738.64, 1,020.36 and 532.72

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Solution

The fourth proportional to 738.64, 1,020.36 and 532.72 is: 735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.64 : 1,020.36 = 532.72 : x
  2. Step 2: Convert to fraction form
    738.64/1,020.36 = 532.72/x
  3. Step 3: Cross multiply
    738.64x = 1,020.36 × 532.72
  4. Step 4: Simplify right side
    738.64x = 543,566.18
  5. Step 5: Solve for x
    x = 543,566.18/738.64
  6. Step 6: Final answer
    x = 735.90

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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.