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Finding the Fourth Proportional to 928.92, 1,390.02 and 800.45

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Solution

The fourth proportional to 928.92, 1,390.02 and 800.45 is: 1,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.92 : 1,390.02 = 800.45 : x
  2. Step 2: Convert to fraction form
    928.92/1,390.02 = 800.45/x
  3. Step 3: Cross multiply
    928.92x = 1,390.02 × 800.45
  4. Step 4: Simplify right side
    928.92x = 1,112,641.51
  5. Step 5: Solve for x
    x = 1,112,641.51/928.92
  6. Step 6: Final answer
    x = 1,197.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.