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Finding the Fourth Proportional to 981.13, 1,353.84 and 582.65

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Solution

The fourth proportional to 981.13, 1,353.84 and 582.65 is: 803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.13 : 1,353.84 = 582.65 : x
  2. Step 2: Convert to fraction form
    981.13/1,353.84 = 582.65/x
  3. Step 3: Cross multiply
    981.13x = 1,353.84 × 582.65
  4. Step 4: Simplify right side
    981.13x = 788,809.56
  5. Step 5: Solve for x
    x = 788,809.56/981.13
  6. Step 6: Final answer
    x = 803.98

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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.