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Finding the Fourth Proportional to 729.59, 1,007.22 and 567.54

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Solution

The fourth proportional to 729.59, 1,007.22 and 567.54 is: 783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.59 : 1,007.22 = 567.54 : x
  2. Step 2: Convert to fraction form
    729.59/1,007.22 = 567.54/x
  3. Step 3: Cross multiply
    729.59x = 1,007.22 × 567.54
  4. Step 4: Simplify right side
    729.59x = 571,637.64
  5. Step 5: Solve for x
    x = 571,637.64/729.59
  6. Step 6: Final answer
    x = 783.51

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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.