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Finding the Fourth Proportional to 815.48, 1,221.65 and 507.46

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Solution

The fourth proportional to 815.48, 1,221.65 and 507.46 is: 760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.48 : 1,221.65 = 507.46 : x
  2. Step 2: Convert to fraction form
    815.48/1,221.65 = 507.46/x
  3. Step 3: Cross multiply
    815.48x = 1,221.65 × 507.46
  4. Step 4: Simplify right side
    815.48x = 619,929.86
  5. Step 5: Solve for x
    x = 619,929.86/815.48
  6. Step 6: Final answer
    x = 760.20

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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.