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Finding the Fourth Proportional to 532.02, 792.84 and 514.62

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Solution

The fourth proportional to 532.02, 792.84 and 514.62 is: 766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.02 : 792.84 = 514.62 : x
  2. Step 2: Convert to fraction form
    532.02/792.84 = 514.62/x
  3. Step 3: Cross multiply
    532.02x = 792.84 × 514.62
  4. Step 4: Simplify right side
    532.02x = 408,011.32
  5. Step 5: Solve for x
    x = 408,011.32/532.02
  6. Step 6: Final answer
    x = 766.91

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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.