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Finding the Fourth Proportional to 842.96, 1,264.49 and 478.07

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Solution

The fourth proportional to 842.96, 1,264.49 and 478.07 is: 717.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.96 : 1,264.49 = 478.07 : x
  2. Step 2: Convert to fraction form
    842.96/1,264.49 = 478.07/x
  3. Step 3: Cross multiply
    842.96x = 1,264.49 × 478.07
  4. Step 4: Simplify right side
    842.96x = 604,512.34
  5. Step 5: Solve for x
    x = 604,512.34/842.96
  6. Step 6: Final answer
    x = 717.13

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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.