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Finding the Fourth Proportional to 1,377.66, 2,065.80 and 403.56

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Solution

The fourth proportional to 1,377.66, 2,065.80 and 403.56 is: 605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.66 : 2,065.80 = 403.56 : x
  2. Step 2: Convert to fraction form
    1,377.66/2,065.80 = 403.56/x
  3. Step 3: Cross multiply
    1,377.66x = 2,065.80 × 403.56
  4. Step 4: Simplify right side
    1,377.66x = 833,674.25
  5. Step 5: Solve for x
    x = 833,674.25/1,377.66
  6. Step 6: Final answer
    x = 605.14

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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.