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Finding the Fourth Proportional to 1,377.70, 2,066.31 and 403.58

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Solution

The fourth proportional to 1,377.70, 2,066.31 and 403.58 is: 605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.70 : 2,066.31 = 403.58 : x
  2. Step 2: Convert to fraction form
    1,377.70/2,066.31 = 403.58/x
  3. Step 3: Cross multiply
    1,377.70x = 2,066.31 × 403.58
  4. Step 4: Simplify right side
    1,377.70x = 833,921.39
  5. Step 5: Solve for x
    x = 833,921.39/1,377.70
  6. Step 6: Final answer
    x = 605.30

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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.