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Finding the Fourth Proportional to 1,470.09, 2,203.72 and 495.66

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Solution

The fourth proportional to 1,470.09, 2,203.72 and 495.66 is: 743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.09 : 2,203.72 = 495.66 : x
  2. Step 2: Convert to fraction form
    1,470.09/2,203.72 = 495.66/x
  3. Step 3: Cross multiply
    1,470.09x = 2,203.72 × 495.66
  4. Step 4: Simplify right side
    1,470.09x = 1,092,294.62
  5. Step 5: Solve for x
    x = 1,092,294.62/1,470.09
  6. Step 6: Final answer
    x = 743.01

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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.