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Finding the Fourth Proportional to 1,139.67, 1,706.47 and 775.17

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Solution

The fourth proportional to 1,139.67, 1,706.47 and 775.17 is: 1,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.67 : 1,706.47 = 775.17 : x
  2. Step 2: Convert to fraction form
    1,139.67/1,706.47 = 775.17/x
  3. Step 3: Cross multiply
    1,139.67x = 1,706.47 × 775.17
  4. Step 4: Simplify right side
    1,139.67x = 1,322,802.41
  5. Step 5: Solve for x
    x = 1,322,802.41/1,139.67
  6. Step 6: Final answer
    x = 1,160.69

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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.