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Finding the Fourth Proportional to 1,013.64, 1,520.52 and 458.68

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Solution

The fourth proportional to 1,013.64, 1,520.52 and 458.68 is: 688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.64 : 1,520.52 = 458.68 : x
  2. Step 2: Convert to fraction form
    1,013.64/1,520.52 = 458.68/x
  3. Step 3: Cross multiply
    1,013.64x = 1,520.52 × 458.68
  4. Step 4: Simplify right side
    1,013.64x = 697,432.11
  5. Step 5: Solve for x
    x = 697,432.11/1,013.64
  6. Step 6: Final answer
    x = 688.05

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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.