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Finding the Fourth Proportional to 699.32, 1,042.71 and 680.18

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Solution

The fourth proportional to 699.32, 1,042.71 and 680.18 is: 1,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.32 : 1,042.71 = 680.18 : x
  2. Step 2: Convert to fraction form
    699.32/1,042.71 = 680.18/x
  3. Step 3: Cross multiply
    699.32x = 1,042.71 × 680.18
  4. Step 4: Simplify right side
    699.32x = 709,225.27
  5. Step 5: Solve for x
    x = 709,225.27/699.32
  6. Step 6: Final answer
    x = 1,014.17

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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.