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Finding the Fourth Proportional to 1,101, 1,519.31 and 658.91

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Solution

The fourth proportional to 1,101, 1,519.31 and 658.91 is: 909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101 : 1,519.31 = 658.91 : x
  2. Step 2: Convert to fraction form
    1,101/1,519.31 = 658.91/x
  3. Step 3: Cross multiply
    1,101x = 1,519.31 × 658.91
  4. Step 4: Simplify right side
    1,101x = 1,001,088.55
  5. Step 5: Solve for x
    x = 1,001,088.55/1,101
  6. Step 6: Final answer
    x = 909.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.