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Finding the Fourth Proportional to 1,082.30, 1,625.10 and 596.30

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Solution

The fourth proportional to 1,082.30, 1,625.10 and 596.30 is: 895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.30 : 1,625.10 = 596.30 : x
  2. Step 2: Convert to fraction form
    1,082.30/1,625.10 = 596.30/x
  3. Step 3: Cross multiply
    1,082.30x = 1,625.10 × 596.30
  4. Step 4: Simplify right side
    1,082.30x = 969,047.13
  5. Step 5: Solve for x
    x = 969,047.13/1,082.30
  6. Step 6: Final answer
    x = 895.36

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1.5x scale

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.