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Finding the Fourth Proportional to 1,150.17, 1,587.36 and 708.06

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Solution

The fourth proportional to 1,150.17, 1,587.36 and 708.06 is: 977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.17 : 1,587.36 = 708.06 : x
  2. Step 2: Convert to fraction form
    1,150.17/1,587.36 = 708.06/x
  3. Step 3: Cross multiply
    1,150.17x = 1,587.36 × 708.06
  4. Step 4: Simplify right side
    1,150.17x = 1,123,942.58
  5. Step 5: Solve for x
    x = 1,123,942.58/1,150.17
  6. Step 6: Final answer
    x = 977.20

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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.