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Finding the Fourth Proportional to 1,013.38, 1,520.68 and 364.16

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Solution

The fourth proportional to 1,013.38, 1,520.68 and 364.16 is: 546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.38 : 1,520.68 = 364.16 : x
  2. Step 2: Convert to fraction form
    1,013.38/1,520.68 = 364.16/x
  3. Step 3: Cross multiply
    1,013.38x = 1,520.68 × 364.16
  4. Step 4: Simplify right side
    1,013.38x = 553,775.17
  5. Step 5: Solve for x
    x = 553,775.17/1,013.38
  6. Step 6: Final answer
    x = 546.46

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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.