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Finding the Fourth Proportional to 783.98, 1,082.03 and 597.18

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Solution

The fourth proportional to 783.98, 1,082.03 and 597.18 is: 824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.98 : 1,082.03 = 597.18 : x
  2. Step 2: Convert to fraction form
    783.98/1,082.03 = 597.18/x
  3. Step 3: Cross multiply
    783.98x = 1,082.03 × 597.18
  4. Step 4: Simplify right side
    783.98x = 646,163.69
  5. Step 5: Solve for x
    x = 646,163.69/783.98
  6. Step 6: Final answer
    x = 824.21

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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.