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Finding the Fourth Proportional to 1,082.68, 1,624.38 and 649.96

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Solution

The fourth proportional to 1,082.68, 1,624.38 and 649.96 is: 975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.68 : 1,624.38 = 649.96 : x
  2. Step 2: Convert to fraction form
    1,082.68/1,624.38 = 649.96/x
  3. Step 3: Cross multiply
    1,082.68x = 1,624.38 × 649.96
  4. Step 4: Simplify right side
    1,082.68x = 1,055,782.02
  5. Step 5: Solve for x
    x = 1,055,782.02/1,082.68
  6. Step 6: Final answer
    x = 975.16

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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.