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Finding the Fourth Proportional to 860.16, 1,187.68 and 702.96

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Solution

The fourth proportional to 860.16, 1,187.68 and 702.96 is: 970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.16 : 1,187.68 = 702.96 : x
  2. Step 2: Convert to fraction form
    860.16/1,187.68 = 702.96/x
  3. Step 3: Cross multiply
    860.16x = 1,187.68 × 702.96
  4. Step 4: Simplify right side
    860.16x = 834,891.53
  5. Step 5: Solve for x
    x = 834,891.53/860.16
  6. Step 6: Final answer
    x = 970.62

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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.