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Finding the Fourth Proportional to 702.38, 1,048.60 and 593.03

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Solution

The fourth proportional to 702.38, 1,048.60 and 593.03 is: 885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.38 : 1,048.60 = 593.03 : x
  2. Step 2: Convert to fraction form
    702.38/1,048.60 = 593.03/x
  3. Step 3: Cross multiply
    702.38x = 1,048.60 × 593.03
  4. Step 4: Simplify right side
    702.38x = 621,851.26
  5. Step 5: Solve for x
    x = 621,851.26/702.38
  6. Step 6: Final answer
    x = 885.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.