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Finding the Fourth Proportional to 874.95, 1,208.16 and 781.53

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Solution

The fourth proportional to 874.95, 1,208.16 and 781.53 is: 1,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.95 : 1,208.16 = 781.53 : x
  2. Step 2: Convert to fraction form
    874.95/1,208.16 = 781.53/x
  3. Step 3: Cross multiply
    874.95x = 1,208.16 × 781.53
  4. Step 4: Simplify right side
    874.95x = 944,213.28
  5. Step 5: Solve for x
    x = 944,213.28/874.95
  6. Step 6: Final answer
    x = 1,079.16

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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.