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Finding the Fourth Proportional to 1,339.88, 1,848.16 and 808.40

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Solution

The fourth proportional to 1,339.88, 1,848.16 and 808.40 is: 1,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.88 : 1,848.16 = 808.40 : x
  2. Step 2: Convert to fraction form
    1,339.88/1,848.16 = 808.40/x
  3. Step 3: Cross multiply
    1,339.88x = 1,848.16 × 808.40
  4. Step 4: Simplify right side
    1,339.88x = 1,494,055.14
  5. Step 5: Solve for x
    x = 1,494,055.14/1,339.88
  6. Step 6: Final answer
    x = 1,115.06

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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.