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Finding the Fourth Proportional to 800.68, 1,201.16 and 390.10

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Solution

The fourth proportional to 800.68, 1,201.16 and 390.10 is: 585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.68 : 1,201.16 = 390.10 : x
  2. Step 2: Convert to fraction form
    800.68/1,201.16 = 390.10/x
  3. Step 3: Cross multiply
    800.68x = 1,201.16 × 390.10
  4. Step 4: Simplify right side
    800.68x = 468,572.52
  5. Step 5: Solve for x
    x = 468,572.52/800.68
  6. Step 6: Final answer
    x = 585.22

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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.