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Finding the Fourth Proportional to 1,339.80, 1,848.66 and 780.30

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Solution

The fourth proportional to 1,339.80, 1,848.66 and 780.30 is: 1,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.80 : 1,848.66 = 780.30 : x
  2. Step 2: Convert to fraction form
    1,339.80/1,848.66 = 780.30/x
  3. Step 3: Cross multiply
    1,339.80x = 1,848.66 × 780.30
  4. Step 4: Simplify right side
    1,339.80x = 1,442,509.40
  5. Step 5: Solve for x
    x = 1,442,509.40/1,339.80
  6. Step 6: Final answer
    x = 1,076.66

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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.