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Finding the Fourth Proportional to 702.66, 1,052.76 and 486.38

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Solution

The fourth proportional to 702.66, 1,052.76 and 486.38 is: 728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.66 : 1,052.76 = 486.38 : x
  2. Step 2: Convert to fraction form
    702.66/1,052.76 = 486.38/x
  3. Step 3: Cross multiply
    702.66x = 1,052.76 × 486.38
  4. Step 4: Simplify right side
    702.66x = 512,041.41
  5. Step 5: Solve for x
    x = 512,041.41/702.66
  6. Step 6: Final answer
    x = 728.72

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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.