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Finding the Fourth Proportional to 1,082.52, 1,624.04 and 313

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Solution

The fourth proportional to 1,082.52, 1,624.04 and 313 is: 469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.52 : 1,624.04 = 313 : x
  2. Step 2: Convert to fraction form
    1,082.52/1,624.04 = 313/x
  3. Step 3: Cross multiply
    1,082.52x = 1,624.04 × 313
  4. Step 4: Simplify right side
    1,082.52x = 508,324.52
  5. Step 5: Solve for x
    x = 508,324.52/1,082.52
  6. Step 6: Final answer
    x = 469.58

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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.