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Finding the Fourth Proportional to 702.34, 1,053.54 and 580.38

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Solution

The fourth proportional to 702.34, 1,053.54 and 580.38 is: 870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.34 : 1,053.54 = 580.38 : x
  2. Step 2: Convert to fraction form
    702.34/1,053.54 = 580.38/x
  3. Step 3: Cross multiply
    702.34x = 1,053.54 × 580.38
  4. Step 4: Simplify right side
    702.34x = 611,453.55
  5. Step 5: Solve for x
    x = 611,453.55/702.34
  6. Step 6: Final answer
    x = 870.59

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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.