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Finding the Fourth Proportional to 972.75, 1,341.84 and 599.66

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Solution

The fourth proportional to 972.75, 1,341.84 and 599.66 is: 827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.75 : 1,341.84 = 599.66 : x
  2. Step 2: Convert to fraction form
    972.75/1,341.84 = 599.66/x
  3. Step 3: Cross multiply
    972.75x = 1,341.84 × 599.66
  4. Step 4: Simplify right side
    972.75x = 804,647.77
  5. Step 5: Solve for x
    x = 804,647.77/972.75
  6. Step 6: Final answer
    x = 827.19

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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.