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Finding the Fourth Proportional to 1,366.72, 2,050.04 and 379.53

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Solution

The fourth proportional to 1,366.72, 2,050.04 and 379.53 is: 569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.72 : 2,050.04 = 379.53 : x
  2. Step 2: Convert to fraction form
    1,366.72/2,050.04 = 379.53/x
  3. Step 3: Cross multiply
    1,366.72x = 2,050.04 × 379.53
  4. Step 4: Simplify right side
    1,366.72x = 778,052.63
  5. Step 5: Solve for x
    x = 778,052.63/1,366.72
  6. Step 6: Final answer
    x = 569.29

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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.