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Finding the Fourth Proportional to 1,151.45, 1,588.22 and 709.61

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Solution

The fourth proportional to 1,151.45, 1,588.22 and 709.61 is: 978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.45 : 1,588.22 = 709.61 : x
  2. Step 2: Convert to fraction form
    1,151.45/1,588.22 = 709.61/x
  3. Step 3: Cross multiply
    1,151.45x = 1,588.22 × 709.61
  4. Step 4: Simplify right side
    1,151.45x = 1,127,005.31
  5. Step 5: Solve for x
    x = 1,127,005.31/1,151.45
  6. Step 6: Final answer
    x = 978.77

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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.