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Finding the Fourth Proportional to 1,013.72, 1,521.41 and 526.91

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Solution

The fourth proportional to 1,013.72, 1,521.41 and 526.91 is: 790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.72 : 1,521.41 = 526.91 : x
  2. Step 2: Convert to fraction form
    1,013.72/1,521.41 = 526.91/x
  3. Step 3: Cross multiply
    1,013.72x = 1,521.41 × 526.91
  4. Step 4: Simplify right side
    1,013.72x = 801,635.90
  5. Step 5: Solve for x
    x = 801,635.90/1,013.72
  6. Step 6: Final answer
    x = 790.79

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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.