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Finding the Fourth Proportional to 1,131.08, 1,560.72 and 688.90

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Solution

The fourth proportional to 1,131.08, 1,560.72 and 688.90 is: 950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.08 : 1,560.72 = 688.90 : x
  2. Step 2: Convert to fraction form
    1,131.08/1,560.72 = 688.90/x
  3. Step 3: Cross multiply
    1,131.08x = 1,560.72 × 688.90
  4. Step 4: Simplify right side
    1,131.08x = 1,075,180.01
  5. Step 5: Solve for x
    x = 1,075,180.01/1,131.08
  6. Step 6: Final answer
    x = 950.58

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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.