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Finding the Fourth Proportional to 1,423.11, 2,134.71 and 498.45

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Solution

The fourth proportional to 1,423.11, 2,134.71 and 498.45 is: 747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.11 : 2,134.71 = 498.45 : x
  2. Step 2: Convert to fraction form
    1,423.11/2,134.71 = 498.45/x
  3. Step 3: Cross multiply
    1,423.11x = 2,134.71 × 498.45
  4. Step 4: Simplify right side
    1,423.11x = 1,064,046.20
  5. Step 5: Solve for x
    x = 1,064,046.20/1,423.11
  6. Step 6: Final answer
    x = 747.69

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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.