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Finding the Fourth Proportional to 1,061.94, 1,465.62 and 596.19

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Solution

The fourth proportional to 1,061.94, 1,465.62 and 596.19 is: 822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.94 : 1,465.62 = 596.19 : x
  2. Step 2: Convert to fraction form
    1,061.94/1,465.62 = 596.19/x
  3. Step 3: Cross multiply
    1,061.94x = 1,465.62 × 596.19
  4. Step 4: Simplify right side
    1,061.94x = 873,785.01
  5. Step 5: Solve for x
    x = 873,785.01/1,061.94
  6. Step 6: Final answer
    x = 822.82

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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.