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Finding the Fourth Proportional to 1,167.02, 1,749.32 and 588.68

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Solution

The fourth proportional to 1,167.02, 1,749.32 and 588.68 is: 882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.02 : 1,749.32 = 588.68 : x
  2. Step 2: Convert to fraction form
    1,167.02/1,749.32 = 588.68/x
  3. Step 3: Cross multiply
    1,167.02x = 1,749.32 × 588.68
  4. Step 4: Simplify right side
    1,167.02x = 1,029,789.70
  5. Step 5: Solve for x
    x = 1,029,789.70/1,167.02
  6. Step 6: Final answer
    x = 882.41

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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.