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Finding the Fourth Proportional to 702.60, 1,052.70 and 573.96

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Solution

The fourth proportional to 702.60, 1,052.70 and 573.96 is: 859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.60 : 1,052.70 = 573.96 : x
  2. Step 2: Convert to fraction form
    702.60/1,052.70 = 573.96/x
  3. Step 3: Cross multiply
    702.60x = 1,052.70 × 573.96
  4. Step 4: Simplify right side
    702.60x = 604,207.69
  5. Step 5: Solve for x
    x = 604,207.69/702.60
  6. Step 6: Final answer
    x = 859.96

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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.