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Finding the Fourth Proportional to 950.09, 1,432.45 and 933.08

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Solution

The fourth proportional to 950.09, 1,432.45 and 933.08 is: 1,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.09 : 1,432.45 = 933.08 : x
  2. Step 2: Convert to fraction form
    950.09/1,432.45 = 933.08/x
  3. Step 3: Cross multiply
    950.09x = 1,432.45 × 933.08
  4. Step 4: Simplify right side
    950.09x = 1,336,591.69
  5. Step 5: Solve for x
    x = 1,336,591.69/950.09
  6. Step 6: Final answer
    x = 1,406.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.