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Finding the Fourth Proportional to 1,444.92, 2,167.62 and 471

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Solution

The fourth proportional to 1,444.92, 2,167.62 and 471 is: 706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.92 : 2,167.62 = 471 : x
  2. Step 2: Convert to fraction form
    1,444.92/2,167.62 = 471/x
  3. Step 3: Cross multiply
    1,444.92x = 2,167.62 × 471
  4. Step 4: Simplify right side
    1,444.92x = 1,020,949.02
  5. Step 5: Solve for x
    x = 1,020,949.02/1,444.92
  6. Step 6: Final answer
    x = 706.58

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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.