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Finding the Fourth Proportional to 1,452.06, 2,176.31 and 573.68

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Solution

The fourth proportional to 1,452.06, 2,176.31 and 573.68 is: 859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.06 : 2,176.31 = 573.68 : x
  2. Step 2: Convert to fraction form
    1,452.06/2,176.31 = 573.68/x
  3. Step 3: Cross multiply
    1,452.06x = 2,176.31 × 573.68
  4. Step 4: Simplify right side
    1,452.06x = 1,248,505.52
  5. Step 5: Solve for x
    x = 1,248,505.52/1,452.06
  6. Step 6: Final answer
    x = 859.82

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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.