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Finding the Fourth Proportional to 800.07, 1,102.70 and 659.74

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Solution

The fourth proportional to 800.07, 1,102.70 and 659.74 is: 909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.07 : 1,102.70 = 659.74 : x
  2. Step 2: Convert to fraction form
    800.07/1,102.70 = 659.74/x
  3. Step 3: Cross multiply
    800.07x = 1,102.70 × 659.74
  4. Step 4: Simplify right side
    800.07x = 727,492.00
  5. Step 5: Solve for x
    x = 727,492.00/800.07
  6. Step 6: Final answer
    x = 909.29

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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.