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Finding the Fourth Proportional to 1,419.40, 2,129.37 and 494.74

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Solution

The fourth proportional to 1,419.40, 2,129.37 and 494.74 is: 742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.40 : 2,129.37 = 494.74 : x
  2. Step 2: Convert to fraction form
    1,419.40/2,129.37 = 494.74/x
  3. Step 3: Cross multiply
    1,419.40x = 2,129.37 × 494.74
  4. Step 4: Simplify right side
    1,419.40x = 1,053,484.51
  5. Step 5: Solve for x
    x = 1,053,484.51/1,419.40
  6. Step 6: Final answer
    x = 742.20

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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.