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Finding the Fourth Proportional to 938.16, 1,407.72 and 733.14

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Solution

The fourth proportional to 938.16, 1,407.72 and 733.14 is: 1,100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.16 : 1,407.72 = 733.14 : x
  2. Step 2: Convert to fraction form
    938.16/1,407.72 = 733.14/x
  3. Step 3: Cross multiply
    938.16x = 1,407.72 × 733.14
  4. Step 4: Simplify right side
    938.16x = 1,032,055.84
  5. Step 5: Solve for x
    x = 1,032,055.84/938.16
  6. Step 6: Final answer
    x = 1,100.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.