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Finding the Fourth Proportional to 1,061.84, 1,465.17 and 596

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Solution

The fourth proportional to 1,061.84, 1,465.17 and 596 is: 822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.84 : 1,465.17 = 596 : x
  2. Step 2: Convert to fraction form
    1,061.84/1,465.17 = 596/x
  3. Step 3: Cross multiply
    1,061.84x = 1,465.17 × 596
  4. Step 4: Simplify right side
    1,061.84x = 873,241.32
  5. Step 5: Solve for x
    x = 873,241.32/1,061.84
  6. Step 6: Final answer
    x = 822.39

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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.