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Finding the Fourth Proportional to 1,470.33, 2,204.22 and 545.91

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Solution

The fourth proportional to 1,470.33, 2,204.22 and 545.91 is: 818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.33 : 2,204.22 = 545.91 : x
  2. Step 2: Convert to fraction form
    1,470.33/2,204.22 = 545.91/x
  3. Step 3: Cross multiply
    1,470.33x = 2,204.22 × 545.91
  4. Step 4: Simplify right side
    1,470.33x = 1,203,305.74
  5. Step 5: Solve for x
    x = 1,203,305.74/1,470.33
  6. Step 6: Final answer
    x = 818.39

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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.