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Finding the Fourth Proportional to 1,034.66, 1,427.84 and 562.57

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Solution

The fourth proportional to 1,034.66, 1,427.84 and 562.57 is: 776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.66 : 1,427.84 = 562.57 : x
  2. Step 2: Convert to fraction form
    1,034.66/1,427.84 = 562.57/x
  3. Step 3: Cross multiply
    1,034.66x = 1,427.84 × 562.57
  4. Step 4: Simplify right side
    1,034.66x = 803,257.79
  5. Step 5: Solve for x
    x = 803,257.79/1,034.66
  6. Step 6: Final answer
    x = 776.35

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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.