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Finding the Fourth Proportional to 750.93, 1,125.38 and 588.66

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Solution

The fourth proportional to 750.93, 1,125.38 and 588.66 is: 882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.93 : 1,125.38 = 588.66 : x
  2. Step 2: Convert to fraction form
    750.93/1,125.38 = 588.66/x
  3. Step 3: Cross multiply
    750.93x = 1,125.38 × 588.66
  4. Step 4: Simplify right side
    750.93x = 662,467.66
  5. Step 5: Solve for x
    x = 662,467.66/750.93
  6. Step 6: Final answer
    x = 882.20

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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.