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Finding the Fourth Proportional to 856.90, 1,182.84 and 542.71

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Solution

The fourth proportional to 856.90, 1,182.84 and 542.71 is: 749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.90 : 1,182.84 = 542.71 : x
  2. Step 2: Convert to fraction form
    856.90/1,182.84 = 542.71/x
  3. Step 3: Cross multiply
    856.90x = 1,182.84 × 542.71
  4. Step 4: Simplify right side
    856.90x = 641,939.10
  5. Step 5: Solve for x
    x = 641,939.10/856.90
  6. Step 6: Final answer
    x = 749.14

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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.