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Finding the Fourth Proportional to 1,311.60, 1,810.40 and 780.86

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Solution

The fourth proportional to 1,311.60, 1,810.40 and 780.86 is: 1,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.60 : 1,810.40 = 780.86 : x
  2. Step 2: Convert to fraction form
    1,311.60/1,810.40 = 780.86/x
  3. Step 3: Cross multiply
    1,311.60x = 1,810.40 × 780.86
  4. Step 4: Simplify right side
    1,311.60x = 1,413,668.94
  5. Step 5: Solve for x
    x = 1,413,668.94/1,311.60
  6. Step 6: Final answer
    x = 1,077.82

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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.