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Finding the Fourth Proportional to 1,218.06, 1,826.14 and 560.37

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Solution

The fourth proportional to 1,218.06, 1,826.14 and 560.37 is: 840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.06 : 1,826.14 = 560.37 : x
  2. Step 2: Convert to fraction form
    1,218.06/1,826.14 = 560.37/x
  3. Step 3: Cross multiply
    1,218.06x = 1,826.14 × 560.37
  4. Step 4: Simplify right side
    1,218.06x = 1,023,314.07
  5. Step 5: Solve for x
    x = 1,023,314.07/1,218.06
  6. Step 6: Final answer
    x = 840.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.