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Finding the Fourth Proportional to 856.57, 1,182.07 and 463.59

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Solution

The fourth proportional to 856.57, 1,182.07 and 463.59 is: 639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.57 : 1,182.07 = 463.59 : x
  2. Step 2: Convert to fraction form
    856.57/1,182.07 = 463.59/x
  3. Step 3: Cross multiply
    856.57x = 1,182.07 × 463.59
  4. Step 4: Simplify right side
    856.57x = 547,996.02
  5. Step 5: Solve for x
    x = 547,996.02/856.57
  6. Step 6: Final answer
    x = 639.76

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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.