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Finding the Fourth Proportional to 803.56, 1,108 and 655.74

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Solution

The fourth proportional to 803.56, 1,108 and 655.74 is: 904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.56 : 1,108 = 655.74 : x
  2. Step 2: Convert to fraction form
    803.56/1,108 = 655.74/x
  3. Step 3: Cross multiply
    803.56x = 1,108 × 655.74
  4. Step 4: Simplify right side
    803.56x = 726,559.92
  5. Step 5: Solve for x
    x = 726,559.92/803.56
  6. Step 6: Final answer
    x = 904.18

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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.