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Finding the Fourth Proportional to 1,129.59, 1,558.80 and 709.97

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Solution

The fourth proportional to 1,129.59, 1,558.80 and 709.97 is: 979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.59 : 1,558.80 = 709.97 : x
  2. Step 2: Convert to fraction form
    1,129.59/1,558.80 = 709.97/x
  3. Step 3: Cross multiply
    1,129.59x = 1,558.80 × 709.97
  4. Step 4: Simplify right side
    1,129.59x = 1,106,693.44
  5. Step 5: Solve for x
    x = 1,106,693.44/1,129.59
  6. Step 6: Final answer
    x = 979.73

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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.