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Finding the Fourth Proportional to 948.99, 1,422.56 and 509.91

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Solution

The fourth proportional to 948.99, 1,422.56 and 509.91 is: 764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.99 : 1,422.56 = 509.91 : x
  2. Step 2: Convert to fraction form
    948.99/1,422.56 = 509.91/x
  3. Step 3: Cross multiply
    948.99x = 1,422.56 × 509.91
  4. Step 4: Simplify right side
    948.99x = 725,367.91
  5. Step 5: Solve for x
    x = 725,367.91/948.99
  6. Step 6: Final answer
    x = 764.36

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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.