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Finding the Fourth Proportional to 856.44, 1,182.24 and 542.16

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Solution

The fourth proportional to 856.44, 1,182.24 and 542.16 is: 748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.44 : 1,182.24 = 542.16 : x
  2. Step 2: Convert to fraction form
    856.44/1,182.24 = 542.16/x
  3. Step 3: Cross multiply
    856.44x = 1,182.24 × 542.16
  4. Step 4: Simplify right side
    856.44x = 640,963.24
  5. Step 5: Solve for x
    x = 640,963.24/856.44
  6. Step 6: Final answer
    x = 748.40

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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.