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Finding the Fourth Proportional to 702.76, 1,052.58 and 565.46

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Solution

The fourth proportional to 702.76, 1,052.58 and 565.46 is: 846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.76 : 1,052.58 = 565.46 : x
  2. Step 2: Convert to fraction form
    702.76/1,052.58 = 565.46/x
  3. Step 3: Cross multiply
    702.76x = 1,052.58 × 565.46
  4. Step 4: Simplify right side
    702.76x = 595,191.89
  5. Step 5: Solve for x
    x = 595,191.89/702.76
  6. Step 6: Final answer
    x = 846.93

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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.