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Finding the Fourth Proportional to 1,034.50, 1,427.64 and 568.78

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Solution

The fourth proportional to 1,034.50, 1,427.64 and 568.78 is: 784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.50 : 1,427.64 = 568.78 : x
  2. Step 2: Convert to fraction form
    1,034.50/1,427.64 = 568.78/x
  3. Step 3: Cross multiply
    1,034.50x = 1,427.64 × 568.78
  4. Step 4: Simplify right side
    1,034.50x = 812,013.08
  5. Step 5: Solve for x
    x = 812,013.08/1,034.50
  6. Step 6: Final answer
    x = 784.93

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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.