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Finding the Fourth Proportional to 702.18, 1,046.52 and 696.47

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Solution

The fourth proportional to 702.18, 1,046.52 and 696.47 is: 1,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.18 : 1,046.52 = 696.47 : x
  2. Step 2: Convert to fraction form
    702.18/1,046.52 = 696.47/x
  3. Step 3: Cross multiply
    702.18x = 1,046.52 × 696.47
  4. Step 4: Simplify right side
    702.18x = 728,864.55
  5. Step 5: Solve for x
    x = 728,864.55/702.18
  6. Step 6: Final answer
    x = 1,038.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.