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Finding the Fourth Proportional to 803.57, 1,108.53 and 541.13

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Solution

The fourth proportional to 803.57, 1,108.53 and 541.13 is: 746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.57 : 1,108.53 = 541.13 : x
  2. Step 2: Convert to fraction form
    803.57/1,108.53 = 541.13/x
  3. Step 3: Cross multiply
    803.57x = 1,108.53 × 541.13
  4. Step 4: Simplify right side
    803.57x = 599,853.30
  5. Step 5: Solve for x
    x = 599,853.30/803.57
  6. Step 6: Final answer
    x = 746.49

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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.