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Finding the Fourth Proportional to 839.92, 1,259.88 and 292.11

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Solution

The fourth proportional to 839.92, 1,259.88 and 292.11 is: 438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.92 : 1,259.88 = 292.11 : x
  2. Step 2: Convert to fraction form
    839.92/1,259.88 = 292.11/x
  3. Step 3: Cross multiply
    839.92x = 1,259.88 × 292.11
  4. Step 4: Simplify right side
    839.92x = 368,018.82
  5. Step 5: Solve for x
    x = 368,018.82/839.92
  6. Step 6: Final answer
    x = 438.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.