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Finding the Fourth Proportional to 945.87, 1,298.30 and 838.61

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Solution

The fourth proportional to 945.87, 1,298.30 and 838.61 is: 1,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.87 : 1,298.30 = 838.61 : x
  2. Step 2: Convert to fraction form
    945.87/1,298.30 = 838.61/x
  3. Step 3: Cross multiply
    945.87x = 1,298.30 × 838.61
  4. Step 4: Simplify right side
    945.87x = 1,088,767.36
  5. Step 5: Solve for x
    x = 1,088,767.36/945.87
  6. Step 6: Final answer
    x = 1,151.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.