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Finding the Fourth Proportional to 1,147.57, 1,584.16 and 705.61

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Solution

The fourth proportional to 1,147.57, 1,584.16 and 705.61 is: 974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.57 : 1,584.16 = 705.61 : x
  2. Step 2: Convert to fraction form
    1,147.57/1,584.16 = 705.61/x
  3. Step 3: Cross multiply
    1,147.57x = 1,584.16 × 705.61
  4. Step 4: Simplify right side
    1,147.57x = 1,117,799.35
  5. Step 5: Solve for x
    x = 1,117,799.35/1,147.57
  6. Step 6: Final answer
    x = 974.06

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Why These Related Problems?

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