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Finding the Fourth Proportional to 562.80, 842.40 and 519.60

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Solution

The fourth proportional to 562.80, 842.40 and 519.60 is: 777.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.80 : 842.40 = 519.60 : x
  2. Step 2: Convert to fraction form
    562.80/842.40 = 519.60/x
  3. Step 3: Cross multiply
    562.80x = 842.40 × 519.60
  4. Step 4: Simplify right side
    562.80x = 437,711.04
  5. Step 5: Solve for x
    x = 437,711.04/562.80
  6. Step 6: Final answer
    x = 777.74

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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.