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Finding the Fourth Proportional to 819.86, 1,130.13 and 653.81

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Solution

The fourth proportional to 819.86, 1,130.13 and 653.81 is: 901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.86 : 1,130.13 = 653.81 : x
  2. Step 2: Convert to fraction form
    819.86/1,130.13 = 653.81/x
  3. Step 3: Cross multiply
    819.86x = 1,130.13 × 653.81
  4. Step 4: Simplify right side
    819.86x = 738,884.64
  5. Step 5: Solve for x
    x = 738,884.64/819.86
  6. Step 6: Final answer
    x = 901.24

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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.