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Finding the Fourth Proportional to 532.60, 792.63 and 513.16

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Solution

The fourth proportional to 532.60, 792.63 and 513.16 is: 763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.60 : 792.63 = 513.16 : x
  2. Step 2: Convert to fraction form
    532.60/792.63 = 513.16/x
  3. Step 3: Cross multiply
    532.60x = 792.63 × 513.16
  4. Step 4: Simplify right side
    532.60x = 406,744.03
  5. Step 5: Solve for x
    x = 406,744.03/532.60
  6. Step 6: Final answer
    x = 763.70

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