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Finding the Fourth Proportional to 1,454.76, 2,182.14 and 589.14

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Solution

The fourth proportional to 1,454.76, 2,182.14 and 589.14 is: 883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.76 : 2,182.14 = 589.14 : x
  2. Step 2: Convert to fraction form
    1,454.76/2,182.14 = 589.14/x
  3. Step 3: Cross multiply
    1,454.76x = 2,182.14 × 589.14
  4. Step 4: Simplify right side
    1,454.76x = 1,285,585.96
  5. Step 5: Solve for x
    x = 1,285,585.96/1,454.76
  6. Step 6: Final answer
    x = 883.71

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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.