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Finding the Fourth Proportional to 1,010.07, 1,393.83 and 567.97

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Solution

The fourth proportional to 1,010.07, 1,393.83 and 567.97 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.07 : 1,393.83 = 567.97 : x
  2. Step 2: Convert to fraction form
    1,010.07/1,393.83 = 567.97/x
  3. Step 3: Cross multiply
    1,010.07x = 1,393.83 × 567.97
  4. Step 4: Simplify right side
    1,010.07x = 791,650.14
  5. Step 5: Solve for x
    x = 791,650.14/1,010.07
  6. Step 6: Final answer
    x = 783.76

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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.