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Finding the Fourth Proportional to 867.92, 1,299.51 and 456.17

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Solution

The fourth proportional to 867.92, 1,299.51 and 456.17 is: 683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.92 : 1,299.51 = 456.17 : x
  2. Step 2: Convert to fraction form
    867.92/1,299.51 = 456.17/x
  3. Step 3: Cross multiply
    867.92x = 1,299.51 × 456.17
  4. Step 4: Simplify right side
    867.92x = 592,790.98
  5. Step 5: Solve for x
    x = 592,790.98/867.92
  6. Step 6: Final answer
    x = 683.01

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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.