Home / 1,398.07-2,097.57-748.66

Finding the Fourth Proportional to 1,398.07, 2,097.57 and 748.66

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Solution

The fourth proportional to 1,398.07, 2,097.57 and 748.66 is: 1,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.07 : 2,097.57 = 748.66 : x
  2. Step 2: Convert to fraction form
    1,398.07/2,097.57 = 748.66/x
  3. Step 3: Cross multiply
    1,398.07x = 2,097.57 × 748.66
  4. Step 4: Simplify right side
    1,398.07x = 1,570,366.76
  5. Step 5: Solve for x
    x = 1,570,366.76/1,398.07
  6. Step 6: Final answer
    x = 1,123.24

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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.