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Finding the Fourth Proportional to 1,131.18, 1,560.75 and 688.98

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Solution

The fourth proportional to 1,131.18, 1,560.75 and 688.98 is: 950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.18 : 1,560.75 = 688.98 : x
  2. Step 2: Convert to fraction form
    1,131.18/1,560.75 = 688.98/x
  3. Step 3: Cross multiply
    1,131.18x = 1,560.75 × 688.98
  4. Step 4: Simplify right side
    1,131.18x = 1,075,325.54
  5. Step 5: Solve for x
    x = 1,075,325.54/1,131.18
  6. Step 6: Final answer
    x = 950.62

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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.