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Finding the Fourth Proportional to 836.10, 1,153.73 and 463.02

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Solution

The fourth proportional to 836.10, 1,153.73 and 463.02 is: 638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.10 : 1,153.73 = 463.02 : x
  2. Step 2: Convert to fraction form
    836.10/1,153.73 = 463.02/x
  3. Step 3: Cross multiply
    836.10x = 1,153.73 × 463.02
  4. Step 4: Simplify right side
    836.10x = 534,200.06
  5. Step 5: Solve for x
    x = 534,200.06/836.10
  6. Step 6: Final answer
    x = 638.92

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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.