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Finding the Fourth Proportional to 959.10, 1,439.58 and 521.12

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Solution

The fourth proportional to 959.10, 1,439.58 and 521.12 is: 782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.10 : 1,439.58 = 521.12 : x
  2. Step 2: Convert to fraction form
    959.10/1,439.58 = 521.12/x
  3. Step 3: Cross multiply
    959.10x = 1,439.58 × 521.12
  4. Step 4: Simplify right side
    959.10x = 750,193.93
  5. Step 5: Solve for x
    x = 750,193.93/959.10
  6. Step 6: Final answer
    x = 782.19

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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.