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Finding the Fourth Proportional to 1,397.94, 2,095.29 and 749.13

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Solution

The fourth proportional to 1,397.94, 2,095.29 and 749.13 is: 1,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.94 : 2,095.29 = 749.13 : x
  2. Step 2: Convert to fraction form
    1,397.94/2,095.29 = 749.13/x
  3. Step 3: Cross multiply
    1,397.94x = 2,095.29 × 749.13
  4. Step 4: Simplify right side
    1,397.94x = 1,569,644.60
  5. Step 5: Solve for x
    x = 1,569,644.60/1,397.94
  6. Step 6: Final answer
    x = 1,122.83

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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.