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Finding the Fourth Proportional to 1,075.56, 1,614.15 and 861.72

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Solution

The fourth proportional to 1,075.56, 1,614.15 and 861.72 is: 1,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.56 : 1,614.15 = 861.72 : x
  2. Step 2: Convert to fraction form
    1,075.56/1,614.15 = 861.72/x
  3. Step 3: Cross multiply
    1,075.56x = 1,614.15 × 861.72
  4. Step 4: Simplify right side
    1,075.56x = 1,390,945.34
  5. Step 5: Solve for x
    x = 1,390,945.34/1,075.56
  6. Step 6: Final answer
    x = 1,293.23

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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.