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Finding the Fourth Proportional to 1,032.85, 1,425.27 and 567.10

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Solution

The fourth proportional to 1,032.85, 1,425.27 and 567.10 is: 782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.85 : 1,425.27 = 567.10 : x
  2. Step 2: Convert to fraction form
    1,032.85/1,425.27 = 567.10/x
  3. Step 3: Cross multiply
    1,032.85x = 1,425.27 × 567.10
  4. Step 4: Simplify right side
    1,032.85x = 808,270.62
  5. Step 5: Solve for x
    x = 808,270.62/1,032.85
  6. Step 6: Final answer
    x = 782.56

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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.