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Finding the Fourth Proportional to 1,077.28, 1,615.65 and 500.02

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Solution

The fourth proportional to 1,077.28, 1,615.65 and 500.02 is: 749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.28 : 1,615.65 = 500.02 : x
  2. Step 2: Convert to fraction form
    1,077.28/1,615.65 = 500.02/x
  3. Step 3: Cross multiply
    1,077.28x = 1,615.65 × 500.02
  4. Step 4: Simplify right side
    1,077.28x = 807,857.31
  5. Step 5: Solve for x
    x = 807,857.31/1,077.28
  6. Step 6: Final answer
    x = 749.90

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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.