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Finding the Fourth Proportional to 675.75, 1,013.59 and 588.27

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Solution

The fourth proportional to 675.75, 1,013.59 and 588.27 is: 882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.75 : 1,013.59 = 588.27 : x
  2. Step 2: Convert to fraction form
    675.75/1,013.59 = 588.27/x
  3. Step 3: Cross multiply
    675.75x = 1,013.59 × 588.27
  4. Step 4: Simplify right side
    675.75x = 596,264.59
  5. Step 5: Solve for x
    x = 596,264.59/675.75
  6. Step 6: Final answer
    x = 882.37

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