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Finding the Fourth Proportional to 800.16, 1,103.46 and 652.55

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Solution

The fourth proportional to 800.16, 1,103.46 and 652.55 is: 899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.16 : 1,103.46 = 652.55 : x
  2. Step 2: Convert to fraction form
    800.16/1,103.46 = 652.55/x
  3. Step 3: Cross multiply
    800.16x = 1,103.46 × 652.55
  4. Step 4: Simplify right side
    800.16x = 720,057.31
  5. Step 5: Solve for x
    x = 720,057.31/800.16
  6. Step 6: Final answer
    x = 899.89

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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.