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Finding the Fourth Proportional to 1,150.83, 1,587.91 and 708.65

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Solution

The fourth proportional to 1,150.83, 1,587.91 and 708.65 is: 977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.83 : 1,587.91 = 708.65 : x
  2. Step 2: Convert to fraction form
    1,150.83/1,587.91 = 708.65/x
  3. Step 3: Cross multiply
    1,150.83x = 1,587.91 × 708.65
  4. Step 4: Simplify right side
    1,150.83x = 1,125,270.49
  5. Step 5: Solve for x
    x = 1,125,270.49/1,150.83
  6. Step 6: Final answer
    x = 977.79

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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.