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Finding the Fourth Proportional to 1,470.18, 2,029.14 and 872.82

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Solution

The fourth proportional to 1,470.18, 2,029.14 and 872.82 is: 1,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.18 : 2,029.14 = 872.82 : x
  2. Step 2: Convert to fraction form
    1,470.18/2,029.14 = 872.82/x
  3. Step 3: Cross multiply
    1,470.18x = 2,029.14 × 872.82
  4. Step 4: Simplify right side
    1,470.18x = 1,771,073.97
  5. Step 5: Solve for x
    x = 1,771,073.97/1,470.18
  6. Step 6: Final answer
    x = 1,204.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.