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Finding the Fourth Proportional to 842.46, 1,263.72 and 409.14

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Solution

The fourth proportional to 842.46, 1,263.72 and 409.14 is: 613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.46 : 1,263.72 = 409.14 : x
  2. Step 2: Convert to fraction form
    842.46/1,263.72 = 409.14/x
  3. Step 3: Cross multiply
    842.46x = 1,263.72 × 409.14
  4. Step 4: Simplify right side
    842.46x = 517,038.40
  5. Step 5: Solve for x
    x = 517,038.40/842.46
  6. Step 6: Final answer
    x = 613.72

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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.