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Finding the Fourth Proportional to 1,397.46, 1,928.42 and 837.82

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Solution

The fourth proportional to 1,397.46, 1,928.42 and 837.82 is: 1,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.46 : 1,928.42 = 837.82 : x
  2. Step 2: Convert to fraction form
    1,397.46/1,928.42 = 837.82/x
  3. Step 3: Cross multiply
    1,397.46x = 1,928.42 × 837.82
  4. Step 4: Simplify right side
    1,397.46x = 1,615,674.92
  5. Step 5: Solve for x
    x = 1,615,674.92/1,397.46
  6. Step 6: Final answer
    x = 1,156.15

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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.