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Finding the Fourth Proportional to 1,082.99, 1,625.30 and 795.17

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Solution

The fourth proportional to 1,082.99, 1,625.30 and 795.17 is: 1,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.99 : 1,625.30 = 795.17 : x
  2. Step 2: Convert to fraction form
    1,082.99/1,625.30 = 795.17/x
  3. Step 3: Cross multiply
    1,082.99x = 1,625.30 × 795.17
  4. Step 4: Simplify right side
    1,082.99x = 1,292,389.80
  5. Step 5: Solve for x
    x = 1,292,389.80/1,082.99
  6. Step 6: Final answer
    x = 1,193.35

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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.