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Finding the Fourth Proportional to 1,131.34, 1,698.24 and 950.71

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Solution

The fourth proportional to 1,131.34, 1,698.24 and 950.71 is: 1,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.34 : 1,698.24 = 950.71 : x
  2. Step 2: Convert to fraction form
    1,131.34/1,698.24 = 950.71/x
  3. Step 3: Cross multiply
    1,131.34x = 1,698.24 × 950.71
  4. Step 4: Simplify right side
    1,131.34x = 1,614,533.75
  5. Step 5: Solve for x
    x = 1,614,533.75/1,131.34
  6. Step 6: Final answer
    x = 1,427.10

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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.