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Finding the Fourth Proportional to 1,444.74, 2,167.14 and 470.91

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Solution

The fourth proportional to 1,444.74, 2,167.14 and 470.91 is: 706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.74 : 2,167.14 = 470.91 : x
  2. Step 2: Convert to fraction form
    1,444.74/2,167.14 = 470.91/x
  3. Step 3: Cross multiply
    1,444.74x = 2,167.14 × 470.91
  4. Step 4: Simplify right side
    1,444.74x = 1,020,527.90
  5. Step 5: Solve for x
    x = 1,020,527.90/1,444.74
  6. Step 6: Final answer
    x = 706.37

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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.