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Finding the Fourth Proportional to 744.49, 1,112.46 and 567.82

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Solution

The fourth proportional to 744.49, 1,112.46 and 567.82 is: 848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.49 : 1,112.46 = 567.82 : x
  2. Step 2: Convert to fraction form
    744.49/1,112.46 = 567.82/x
  3. Step 3: Cross multiply
    744.49x = 1,112.46 × 567.82
  4. Step 4: Simplify right side
    744.49x = 631,677.04
  5. Step 5: Solve for x
    x = 631,677.04/744.49
  6. Step 6: Final answer
    x = 848.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.