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Finding the Fourth Proportional to 1,377.68, 2,066.72 and 452.93

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Solution

The fourth proportional to 1,377.68, 2,066.72 and 452.93 is: 679.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.68 : 2,066.72 = 452.93 : x
  2. Step 2: Convert to fraction form
    1,377.68/2,066.72 = 452.93/x
  3. Step 3: Cross multiply
    1,377.68x = 2,066.72 × 452.93
  4. Step 4: Simplify right side
    1,377.68x = 936,066.89
  5. Step 5: Solve for x
    x = 936,066.89/1,377.68
  6. Step 6: Final answer
    x = 679.45

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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.