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Finding the Fourth Proportional to 1,061.76, 1,465.22 and 596

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Solution

The fourth proportional to 1,061.76, 1,465.22 and 596 is: 822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.76 : 1,465.22 = 596 : x
  2. Step 2: Convert to fraction form
    1,061.76/1,465.22 = 596/x
  3. Step 3: Cross multiply
    1,061.76x = 1,465.22 × 596
  4. Step 4: Simplify right side
    1,061.76x = 873,271.12
  5. Step 5: Solve for x
    x = 873,271.12/1,061.76
  6. Step 6: Final answer
    x = 822.48

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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.