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Finding the Fourth Proportional to 1,588.92, 2,382.17 and 710.35

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Solution

The fourth proportional to 1,588.92, 2,382.17 and 710.35 is: 1,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.92 : 2,382.17 = 710.35 : x
  2. Step 2: Convert to fraction form
    1,588.92/2,382.17 = 710.35/x
  3. Step 3: Cross multiply
    1,588.92x = 2,382.17 × 710.35
  4. Step 4: Simplify right side
    1,588.92x = 1,692,170.91
  5. Step 5: Solve for x
    x = 1,692,170.91/1,588.92
  6. Step 6: Final answer
    x = 1,064.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.