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Finding the Fourth Proportional to 1,377.64, 2,066.65 and 403.60

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Solution

The fourth proportional to 1,377.64, 2,066.65 and 403.60 is: 605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.64 : 2,066.65 = 403.60 : x
  2. Step 2: Convert to fraction form
    1,377.64/2,066.65 = 403.60/x
  3. Step 3: Cross multiply
    1,377.64x = 2,066.65 × 403.60
  4. Step 4: Simplify right side
    1,377.64x = 834,099.94
  5. Step 5: Solve for x
    x = 834,099.94/1,377.64
  6. Step 6: Final answer
    x = 605.46

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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.