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Finding the Fourth Proportional to 856.77, 1,182.35 and 463.80

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Solution

The fourth proportional to 856.77, 1,182.35 and 463.80 is: 640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.77 : 1,182.35 = 463.80 : x
  2. Step 2: Convert to fraction form
    856.77/1,182.35 = 463.80/x
  3. Step 3: Cross multiply
    856.77x = 1,182.35 × 463.80
  4. Step 4: Simplify right side
    856.77x = 548,373.93
  5. Step 5: Solve for x
    x = 548,373.93/856.77
  6. Step 6: Final answer
    x = 640.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.