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Finding the Fourth Proportional to 934.14, 1,285.98 and 840.18

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Solution

The fourth proportional to 934.14, 1,285.98 and 840.18 is: 1,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.14 : 1,285.98 = 840.18 : x
  2. Step 2: Convert to fraction form
    934.14/1,285.98 = 840.18/x
  3. Step 3: Cross multiply
    934.14x = 1,285.98 × 840.18
  4. Step 4: Simplify right side
    934.14x = 1,080,454.68
  5. Step 5: Solve for x
    x = 1,080,454.68/934.14
  6. Step 6: Final answer
    x = 1,156.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.