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Finding the Fourth Proportional to 948.24, 1,419.32 and 508.39

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Solution

The fourth proportional to 948.24, 1,419.32 and 508.39 is: 760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.24 : 1,419.32 = 508.39 : x
  2. Step 2: Convert to fraction form
    948.24/1,419.32 = 508.39/x
  3. Step 3: Cross multiply
    948.24x = 1,419.32 × 508.39
  4. Step 4: Simplify right side
    948.24x = 721,568.09
  5. Step 5: Solve for x
    x = 721,568.09/948.24
  6. Step 6: Final answer
    x = 760.96

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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.