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Finding the Fourth Proportional to 867.85, 1,302.04 and 456.94

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Solution

The fourth proportional to 867.85, 1,302.04 and 456.94 is: 685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.85 : 1,302.04 = 456.94 : x
  2. Step 2: Convert to fraction form
    867.85/1,302.04 = 456.94/x
  3. Step 3: Cross multiply
    867.85x = 1,302.04 × 456.94
  4. Step 4: Simplify right side
    867.85x = 594,954.16
  5. Step 5: Solve for x
    x = 594,954.16/867.85
  6. Step 6: Final answer
    x = 685.55

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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.