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Finding the Fourth Proportional to 702.30, 1,052.64 and 412.86

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Solution

The fourth proportional to 702.30, 1,052.64 and 412.86 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.30 : 1,052.64 = 412.86 : x
  2. Step 2: Convert to fraction form
    702.30/1,052.64 = 412.86/x
  3. Step 3: Cross multiply
    702.30x = 1,052.64 × 412.86
  4. Step 4: Simplify right side
    702.30x = 434,592.95
  5. Step 5: Solve for x
    x = 434,592.95/702.30
  6. Step 6: Final answer
    x = 618.81

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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.