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Finding the Fourth Proportional to 1,470.42, 2,029.14 and 849.42

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Solution

The fourth proportional to 1,470.42, 2,029.14 and 849.42 is: 1,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.42 : 2,029.14 = 849.42 : x
  2. Step 2: Convert to fraction form
    1,470.42/2,029.14 = 849.42/x
  3. Step 3: Cross multiply
    1,470.42x = 2,029.14 × 849.42
  4. Step 4: Simplify right side
    1,470.42x = 1,723,592.10
  5. Step 5: Solve for x
    x = 1,723,592.10/1,470.42
  6. Step 6: Final answer
    x = 1,172.18

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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.