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Finding the Fourth Proportional to 934.86, 1,403.53 and 798.78

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Solution

The fourth proportional to 934.86, 1,403.53 and 798.78 is: 1,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.86 : 1,403.53 = 798.78 : x
  2. Step 2: Convert to fraction form
    934.86/1,403.53 = 798.78/x
  3. Step 3: Cross multiply
    934.86x = 1,403.53 × 798.78
  4. Step 4: Simplify right side
    934.86x = 1,121,111.69
  5. Step 5: Solve for x
    x = 1,121,111.69/934.86
  6. Step 6: Final answer
    x = 1,199.23

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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.