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Finding the Fourth Proportional to 938.22, 1,407.96 and 707.64

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Solution

The fourth proportional to 938.22, 1,407.96 and 707.64 is: 1,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.22 : 1,407.96 = 707.64 : x
  2. Step 2: Convert to fraction form
    938.22/1,407.96 = 707.64/x
  3. Step 3: Cross multiply
    938.22x = 1,407.96 × 707.64
  4. Step 4: Simplify right side
    938.22x = 996,328.81
  5. Step 5: Solve for x
    x = 996,328.81/938.22
  6. Step 6: Final answer
    x = 1,061.94

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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.