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Finding the Fourth Proportional to 836.91, 1,155.08 and 800.00

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Solution

The fourth proportional to 836.91, 1,155.08 and 800.00 is: 1,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.91 : 1,155.08 = 800.00 : x
  2. Step 2: Convert to fraction form
    836.91/1,155.08 = 800.00/x
  3. Step 3: Cross multiply
    836.91x = 1,155.08 × 800.00
  4. Step 4: Simplify right side
    836.91x = 924,064.39
  5. Step 5: Solve for x
    x = 924,064.39/836.91
  6. Step 6: Final answer
    x = 1,104.13

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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.