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Finding the Fourth Proportional to 1,311.56, 1,810.10 and 780.57

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Solution

The fourth proportional to 1,311.56, 1,810.10 and 780.57 is: 1,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.56 : 1,810.10 = 780.57 : x
  2. Step 2: Convert to fraction form
    1,311.56/1,810.10 = 780.57/x
  3. Step 3: Cross multiply
    1,311.56x = 1,810.10 × 780.57
  4. Step 4: Simplify right side
    1,311.56x = 1,412,911.71
  5. Step 5: Solve for x
    x = 1,412,911.71/1,311.56
  6. Step 6: Final answer
    x = 1,077.27

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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.