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Finding the Fourth Proportional to 1,032.57, 1,424.97 and 566.82

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Solution

The fourth proportional to 1,032.57, 1,424.97 and 566.82 is: 782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.57 : 1,424.97 = 566.82 : x
  2. Step 2: Convert to fraction form
    1,032.57/1,424.97 = 566.82/x
  3. Step 3: Cross multiply
    1,032.57x = 1,424.97 × 566.82
  4. Step 4: Simplify right side
    1,032.57x = 807,701.50
  5. Step 5: Solve for x
    x = 807,701.50/1,032.57
  6. Step 6: Final answer
    x = 782.22

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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.