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Finding the Fourth Proportional to 938.16, 1,291.68 and 704.88

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Solution

The fourth proportional to 938.16, 1,291.68 and 704.88 is: 970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.16 : 1,291.68 = 704.88 : x
  2. Step 2: Convert to fraction form
    938.16/1,291.68 = 704.88/x
  3. Step 3: Cross multiply
    938.16x = 1,291.68 × 704.88
  4. Step 4: Simplify right side
    938.16x = 910,479.40
  5. Step 5: Solve for x
    x = 910,479.40/938.16
  6. Step 6: Final answer
    x = 970.49

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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.