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Finding the Fourth Proportional to 1,010.78, 1,394.93 and 568.71

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Solution

The fourth proportional to 1,010.78, 1,394.93 and 568.71 is: 784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.78 : 1,394.93 = 568.71 : x
  2. Step 2: Convert to fraction form
    1,010.78/1,394.93 = 568.71/x
  3. Step 3: Cross multiply
    1,010.78x = 1,394.93 × 568.71
  4. Step 4: Simplify right side
    1,010.78x = 793,310.64
  5. Step 5: Solve for x
    x = 793,310.64/1,010.78
  6. Step 6: Final answer
    x = 784.85

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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.