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Finding the Fourth Proportional to 1,082.48, 1,623.48 and 649.52

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Solution

The fourth proportional to 1,082.48, 1,623.48 and 649.52 is: 974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.48 : 1,623.48 = 649.52 : x
  2. Step 2: Convert to fraction form
    1,082.48/1,623.48 = 649.52/x
  3. Step 3: Cross multiply
    1,082.48x = 1,623.48 × 649.52
  4. Step 4: Simplify right side
    1,082.48x = 1,054,482.73
  5. Step 5: Solve for x
    x = 1,054,482.73/1,082.48
  6. Step 6: Final answer
    x = 974.14

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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.