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Finding the Fourth Proportional to 1,139.42, 1,709 and 317.62

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Solution

The fourth proportional to 1,139.42, 1,709 and 317.62 is: 476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.42 : 1,709 = 317.62 : x
  2. Step 2: Convert to fraction form
    1,139.42/1,709 = 317.62/x
  3. Step 3: Cross multiply
    1,139.42x = 1,709 × 317.62
  4. Step 4: Simplify right side
    1,139.42x = 542,812.58
  5. Step 5: Solve for x
    x = 542,812.58/1,139.42
  6. Step 6: Final answer
    x = 476.39

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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.