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Finding the Fourth Proportional to 1,438.91, 1,985.71 and 849.74

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Solution

The fourth proportional to 1,438.91, 1,985.71 and 849.74 is: 1,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.91 : 1,985.71 = 849.74 : x
  2. Step 2: Convert to fraction form
    1,438.91/1,985.71 = 849.74/x
  3. Step 3: Cross multiply
    1,438.91x = 1,985.71 × 849.74
  4. Step 4: Simplify right side
    1,438.91x = 1,687,329.06
  5. Step 5: Solve for x
    x = 1,687,329.06/1,438.91
  6. Step 6: Final answer
    x = 1,172.64

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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.