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Finding the Fourth Proportional to 702.02, 970.02 and 506.40

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Solution

The fourth proportional to 702.02, 970.02 and 506.40 is: 699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.02 : 970.02 = 506.40 : x
  2. Step 2: Convert to fraction form
    702.02/970.02 = 506.40/x
  3. Step 3: Cross multiply
    702.02x = 970.02 × 506.40
  4. Step 4: Simplify right side
    702.02x = 491,218.13
  5. Step 5: Solve for x
    x = 491,218.13/702.02
  6. Step 6: Final answer
    x = 699.73

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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.