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Finding the Fourth Proportional to 1,470.74, 2,206.25 and 375.11

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Solution

The fourth proportional to 1,470.74, 2,206.25 and 375.11 is: 562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.74 : 2,206.25 = 375.11 : x
  2. Step 2: Convert to fraction form
    1,470.74/2,206.25 = 375.11/x
  3. Step 3: Cross multiply
    1,470.74x = 2,206.25 × 375.11
  4. Step 4: Simplify right side
    1,470.74x = 827,597.73
  5. Step 5: Solve for x
    x = 827,597.73/1,470.74
  6. Step 6: Final answer
    x = 562.71

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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.