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Finding the Fourth Proportional to 1,758.75, 2,638.25 and 588.71

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Solution

The fourth proportional to 1,758.75, 2,638.25 and 588.71 is: 883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.75 : 2,638.25 = 588.71 : x
  2. Step 2: Convert to fraction form
    1,758.75/2,638.25 = 588.71/x
  3. Step 3: Cross multiply
    1,758.75x = 2,638.25 × 588.71
  4. Step 4: Simplify right side
    1,758.75x = 1,553,149.81
  5. Step 5: Solve for x
    x = 1,553,149.81/1,758.75
  6. Step 6: Final answer
    x = 883.10

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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.