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Finding the Fourth Proportional to 1,398.62, 1,929.53 and 901.55

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Solution

The fourth proportional to 1,398.62, 1,929.53 and 901.55 is: 1,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.62 : 1,929.53 = 901.55 : x
  2. Step 2: Convert to fraction form
    1,398.62/1,929.53 = 901.55/x
  3. Step 3: Cross multiply
    1,398.62x = 1,929.53 × 901.55
  4. Step 4: Simplify right side
    1,398.62x = 1,739,574.85
  5. Step 5: Solve for x
    x = 1,739,574.85/1,398.62
  6. Step 6: Final answer
    x = 1,243.78

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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.