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Finding the Fourth Proportional to 1,444.67, 2,167.58 and 470.78

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Solution

The fourth proportional to 1,444.67, 2,167.58 and 470.78 is: 706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.67 : 2,167.58 = 470.78 : x
  2. Step 2: Convert to fraction form
    1,444.67/2,167.58 = 470.78/x
  3. Step 3: Cross multiply
    1,444.67x = 2,167.58 × 470.78
  4. Step 4: Simplify right side
    1,444.67x = 1,020,453.31
  5. Step 5: Solve for x
    x = 1,020,453.31/1,444.67
  6. Step 6: Final answer
    x = 706.36

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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.