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Finding the Fourth Proportional to 948.81, 1,309.62 and 634.53

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Solution

The fourth proportional to 948.81, 1,309.62 and 634.53 is: 875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.81 : 1,309.62 = 634.53 : x
  2. Step 2: Convert to fraction form
    948.81/1,309.62 = 634.53/x
  3. Step 3: Cross multiply
    948.81x = 1,309.62 × 634.53
  4. Step 4: Simplify right side
    948.81x = 830,993.18
  5. Step 5: Solve for x
    x = 830,993.18/948.81
  6. Step 6: Final answer
    x = 875.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.