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Finding the Fourth Proportional to 954.89, 1,314.80 and 836.18

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Solution

The fourth proportional to 954.89, 1,314.80 and 836.18 is: 1,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.89 : 1,314.80 = 836.18 : x
  2. Step 2: Convert to fraction form
    954.89/1,314.80 = 836.18/x
  3. Step 3: Cross multiply
    954.89x = 1,314.80 × 836.18
  4. Step 4: Simplify right side
    954.89x = 1,099,402.89
  5. Step 5: Solve for x
    x = 1,099,402.89/954.89
  6. Step 6: Final answer
    x = 1,151.35

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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.