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Finding the Fourth Proportional to 1,082.95, 1,625.27 and 434.11

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Solution

The fourth proportional to 1,082.95, 1,625.27 and 434.11 is: 651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.95 : 1,625.27 = 434.11 : x
  2. Step 2: Convert to fraction form
    1,082.95/1,625.27 = 434.11/x
  3. Step 3: Cross multiply
    1,082.95x = 1,625.27 × 434.11
  4. Step 4: Simplify right side
    1,082.95x = 705,545.96
  5. Step 5: Solve for x
    x = 705,545.96/1,082.95
  6. Step 6: Final answer
    x = 651.50

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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.