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Finding the Fourth Proportional to 856.61, 1,182.13 and 463.64

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Solution

The fourth proportional to 856.61, 1,182.13 and 463.64 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.61 : 1,182.13 = 463.64 : x
  2. Step 2: Convert to fraction form
    856.61/1,182.13 = 463.64/x
  3. Step 3: Cross multiply
    856.61x = 1,182.13 × 463.64
  4. Step 4: Simplify right side
    856.61x = 548,082.75
  5. Step 5: Solve for x
    x = 548,082.75/856.61
  6. Step 6: Final answer
    x = 639.83

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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.