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Finding the Fourth Proportional to 836.81, 1,154.74 and 463.76

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Solution

The fourth proportional to 836.81, 1,154.74 and 463.76 is: 639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.81 : 1,154.74 = 463.76 : x
  2. Step 2: Convert to fraction form
    836.81/1,154.74 = 463.76/x
  3. Step 3: Cross multiply
    836.81x = 1,154.74 × 463.76
  4. Step 4: Simplify right side
    836.81x = 535,514.13
  5. Step 5: Solve for x
    x = 535,514.13/836.81
  6. Step 6: Final answer
    x = 639.95

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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.