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Finding the Fourth Proportional to 1,150.84, 1,588.72 and 709.12

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Solution

The fourth proportional to 1,150.84, 1,588.72 and 709.12 is: 978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.84 : 1,588.72 = 709.12 : x
  2. Step 2: Convert to fraction form
    1,150.84/1,588.72 = 709.12/x
  3. Step 3: Cross multiply
    1,150.84x = 1,588.72 × 709.12
  4. Step 4: Simplify right side
    1,150.84x = 1,126,593.13
  5. Step 5: Solve for x
    x = 1,126,593.13/1,150.84
  6. Step 6: Final answer
    x = 978.93

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