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Finding the Fourth Proportional to 857.06, 1,182.91 and 542.28

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Solution

The fourth proportional to 857.06, 1,182.91 and 542.28 is: 748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.06 : 1,182.91 = 542.28 : x
  2. Step 2: Convert to fraction form
    857.06/1,182.91 = 542.28/x
  3. Step 3: Cross multiply
    857.06x = 1,182.91 × 542.28
  4. Step 4: Simplify right side
    857.06x = 641,468.43
  5. Step 5: Solve for x
    x = 641,468.43/857.06
  6. Step 6: Final answer
    x = 748.45

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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.