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Finding the Fourth Proportional to 959.18, 1,437.62 and 410.19

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Solution

The fourth proportional to 959.18, 1,437.62 and 410.19 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.18 : 1,437.62 = 410.19 : x
  2. Step 2: Convert to fraction form
    959.18/1,437.62 = 410.19/x
  3. Step 3: Cross multiply
    959.18x = 1,437.62 × 410.19
  4. Step 4: Simplify right side
    959.18x = 589,695.30
  5. Step 5: Solve for x
    x = 589,695.30/959.18
  6. Step 6: Final answer
    x = 614.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.