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Finding the Fourth Proportional to 1,338.71, 1,846.54 and 840.90

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Solution

The fourth proportional to 1,338.71, 1,846.54 and 840.90 is: 1,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.71 : 1,846.54 = 840.90 : x
  2. Step 2: Convert to fraction form
    1,338.71/1,846.54 = 840.90/x
  3. Step 3: Cross multiply
    1,338.71x = 1,846.54 × 840.90
  4. Step 4: Simplify right side
    1,338.71x = 1,552,763.46
  5. Step 5: Solve for x
    x = 1,552,763.46/1,338.71
  6. Step 6: Final answer
    x = 1,159.90

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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.