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Finding the Fourth Proportional to 1,034.78, 1,427.96 and 562.65

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Solution

The fourth proportional to 1,034.78, 1,427.96 and 562.65 is: 776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.78 : 1,427.96 = 562.65 : x
  2. Step 2: Convert to fraction form
    1,034.78/1,427.96 = 562.65/x
  3. Step 3: Cross multiply
    1,034.78x = 1,427.96 × 562.65
  4. Step 4: Simplify right side
    1,034.78x = 803,441.69
  5. Step 5: Solve for x
    x = 803,441.69/1,034.78
  6. Step 6: Final answer
    x = 776.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.