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Finding the Fourth Proportional to 1,001.91, 1,497.93 and 849.54

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Solution

The fourth proportional to 1,001.91, 1,497.93 and 849.54 is: 1,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.91 : 1,497.93 = 849.54 : x
  2. Step 2: Convert to fraction form
    1,001.91/1,497.93 = 849.54/x
  3. Step 3: Cross multiply
    1,001.91x = 1,497.93 × 849.54
  4. Step 4: Simplify right side
    1,001.91x = 1,272,551.45
  5. Step 5: Solve for x
    x = 1,272,551.45/1,001.91
  6. Step 6: Final answer
    x = 1,270.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.