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Finding the Fourth Proportional to 836.73, 1,154.59 and 463.64

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Solution

The fourth proportional to 836.73, 1,154.59 and 463.64 is: 639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.73 : 1,154.59 = 463.64 : x
  2. Step 2: Convert to fraction form
    836.73/1,154.59 = 463.64/x
  3. Step 3: Cross multiply
    836.73x = 1,154.59 × 463.64
  4. Step 4: Simplify right side
    836.73x = 535,307.18
  5. Step 5: Solve for x
    x = 535,307.18/836.73
  6. Step 6: Final answer
    x = 639.76

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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.