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Finding the Fourth Proportional to 619.48, 932.65 and 512.92

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Solution

The fourth proportional to 619.48, 932.65 and 512.92 is: 772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.48 : 932.65 = 512.92 : x
  2. Step 2: Convert to fraction form
    619.48/932.65 = 512.92/x
  3. Step 3: Cross multiply
    619.48x = 932.65 × 512.92
  4. Step 4: Simplify right side
    619.48x = 478,374.84
  5. Step 5: Solve for x
    x = 478,374.84/619.48
  6. Step 6: Final answer
    x = 772.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.