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Finding the Fourth Proportional to 702.18, 970.52 and 527.22

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Solution

The fourth proportional to 702.18, 970.52 and 527.22 is: 728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.18 : 970.52 = 527.22 : x
  2. Step 2: Convert to fraction form
    702.18/970.52 = 527.22/x
  3. Step 3: Cross multiply
    702.18x = 970.52 × 527.22
  4. Step 4: Simplify right side
    702.18x = 511,674.92
  5. Step 5: Solve for x
    x = 511,674.92/702.18
  6. Step 6: Final answer
    x = 728.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.