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Finding the Fourth Proportional to 867.46, 1,301.56 and 456.50

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Solution

The fourth proportional to 867.46, 1,301.56 and 456.50 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.46 : 1,301.56 = 456.50 : x
  2. Step 2: Convert to fraction form
    867.46/1,301.56 = 456.50/x
  3. Step 3: Cross multiply
    867.46x = 1,301.56 × 456.50
  4. Step 4: Simplify right side
    867.46x = 594,162.14
  5. Step 5: Solve for x
    x = 594,162.14/867.46
  6. Step 6: Final answer
    x = 684.94

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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.