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Finding the Fourth Proportional to 856.76, 1,182.32 and 463.78

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Solution

The fourth proportional to 856.76, 1,182.32 and 463.78 is: 640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,182.32 = 463.78 : x
  2. Step 2: Convert to fraction form
    856.76/1,182.32 = 463.78/x
  3. Step 3: Cross multiply
    856.76x = 1,182.32 × 463.78
  4. Step 4: Simplify right side
    856.76x = 548,339.88
  5. Step 5: Solve for x
    x = 548,339.88/856.76
  6. Step 6: Final answer
    x = 640.02

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Double scale
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1.5x scale

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.