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Finding the Fourth Proportional to 1,451.64, 2,179.02 and 586.52

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Solution

The fourth proportional to 1,451.64, 2,179.02 and 586.52 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.64 : 2,179.02 = 586.52 : x
  2. Step 2: Convert to fraction form
    1,451.64/2,179.02 = 586.52/x
  3. Step 3: Cross multiply
    1,451.64x = 2,179.02 × 586.52
  4. Step 4: Simplify right side
    1,451.64x = 1,278,038.81
  5. Step 5: Solve for x
    x = 1,278,038.81/1,451.64
  6. Step 6: Final answer
    x = 880.41

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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.