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Finding the Fourth Proportional to 1,151.62, 1,588.82 and 709.36

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Solution

The fourth proportional to 1,151.62, 1,588.82 and 709.36 is: 978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.62 : 1,588.82 = 709.36 : x
  2. Step 2: Convert to fraction form
    1,151.62/1,588.82 = 709.36/x
  3. Step 3: Cross multiply
    1,151.62x = 1,588.82 × 709.36
  4. Step 4: Simplify right side
    1,151.62x = 1,127,037.84
  5. Step 5: Solve for x
    x = 1,127,037.84/1,151.62
  6. Step 6: Final answer
    x = 978.66

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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.