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Finding the Fourth Proportional to 529.72, 793.65 and 509.74

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Solution

The fourth proportional to 529.72, 793.65 and 509.74 is: 763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.72 : 793.65 = 509.74 : x
  2. Step 2: Convert to fraction form
    529.72/793.65 = 509.74/x
  3. Step 3: Cross multiply
    529.72x = 793.65 × 509.74
  4. Step 4: Simplify right side
    529.72x = 404,555.15
  5. Step 5: Solve for x
    x = 404,555.15/529.72
  6. Step 6: Final answer
    x = 763.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.