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Finding the Fourth Proportional to 731.81, 1,010.70 and 567.99

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Solution

The fourth proportional to 731.81, 1,010.70 and 567.99 is: 784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.81 : 1,010.70 = 567.99 : x
  2. Step 2: Convert to fraction form
    731.81/1,010.70 = 567.99/x
  3. Step 3: Cross multiply
    731.81x = 1,010.70 × 567.99
  4. Step 4: Simplify right side
    731.81x = 574,067.49
  5. Step 5: Solve for x
    x = 574,067.49/731.81
  6. Step 6: Final answer
    x = 784.45

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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.