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Finding the Fourth Proportional to 920.88, 1,382.28 and 596.52

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Solution

The fourth proportional to 920.88, 1,382.28 and 596.52 is: 895.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.88 : 1,382.28 = 596.52 : x
  2. Step 2: Convert to fraction form
    920.88/1,382.28 = 596.52/x
  3. Step 3: Cross multiply
    920.88x = 1,382.28 × 596.52
  4. Step 4: Simplify right side
    920.88x = 824,557.67
  5. Step 5: Solve for x
    x = 824,557.67/920.88
  6. Step 6: Final answer
    x = 895.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.