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Finding the Fourth Proportional to 1,034.46, 1,552.38 and 547.86

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Solution

The fourth proportional to 1,034.46, 1,552.38 and 547.86 is: 822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.46 : 1,552.38 = 547.86 : x
  2. Step 2: Convert to fraction form
    1,034.46/1,552.38 = 547.86/x
  3. Step 3: Cross multiply
    1,034.46x = 1,552.38 × 547.86
  4. Step 4: Simplify right side
    1,034.46x = 850,486.91
  5. Step 5: Solve for x
    x = 850,486.91/1,034.46
  6. Step 6: Final answer
    x = 822.16

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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.