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Finding the Fourth Proportional to 948.07, 1,308.18 and 632.83

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Solution

The fourth proportional to 948.07, 1,308.18 and 632.83 is: 873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.07 : 1,308.18 = 632.83 : x
  2. Step 2: Convert to fraction form
    948.07/1,308.18 = 632.83/x
  3. Step 3: Cross multiply
    948.07x = 1,308.18 × 632.83
  4. Step 4: Simplify right side
    948.07x = 827,846.25
  5. Step 5: Solve for x
    x = 827,846.25/948.07
  6. Step 6: Final answer
    x = 873.19

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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.