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Finding the Fourth Proportional to 1,427.32, 2,141.79 and 503.08

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Solution

The fourth proportional to 1,427.32, 2,141.79 and 503.08 is: 754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.32 : 2,141.79 = 503.08 : x
  2. Step 2: Convert to fraction form
    1,427.32/2,141.79 = 503.08/x
  3. Step 3: Cross multiply
    1,427.32x = 2,141.79 × 503.08
  4. Step 4: Simplify right side
    1,427.32x = 1,077,491.71
  5. Step 5: Solve for x
    x = 1,077,491.71/1,427.32
  6. Step 6: Final answer
    x = 754.91

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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.