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Finding the Fourth Proportional to 803.38, 1,108.76 and 583.06

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Solution

The fourth proportional to 803.38, 1,108.76 and 583.06 is: 804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.38 : 1,108.76 = 583.06 : x
  2. Step 2: Convert to fraction form
    803.38/1,108.76 = 583.06/x
  3. Step 3: Cross multiply
    803.38x = 1,108.76 × 583.06
  4. Step 4: Simplify right side
    803.38x = 646,473.61
  5. Step 5: Solve for x
    x = 646,473.61/803.38
  6. Step 6: Final answer
    x = 804.69

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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.