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Finding the Fourth Proportional to 836.74, 1,154.71 and 463.72

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Solution

The fourth proportional to 836.74, 1,154.71 and 463.72 is: 639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.74 : 1,154.71 = 463.72 : x
  2. Step 2: Convert to fraction form
    836.74/1,154.71 = 463.72/x
  3. Step 3: Cross multiply
    836.74x = 1,154.71 × 463.72
  4. Step 4: Simplify right side
    836.74x = 535,462.41
  5. Step 5: Solve for x
    x = 535,462.41/836.74
  6. Step 6: Final answer
    x = 639.94

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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.