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Finding the Fourth Proportional to 836.58, 1,154.49 and 463.59

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Solution

The fourth proportional to 836.58, 1,154.49 and 463.59 is: 639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.58 : 1,154.49 = 463.59 : x
  2. Step 2: Convert to fraction form
    836.58/1,154.49 = 463.59/x
  3. Step 3: Cross multiply
    836.58x = 1,154.49 × 463.59
  4. Step 4: Simplify right side
    836.58x = 535,210.02
  5. Step 5: Solve for x
    x = 535,210.02/836.58
  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.