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Finding the Fourth Proportional to 931.72, 1,397.67 and 438.07

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Solution

The fourth proportional to 931.72, 1,397.67 and 438.07 is: 657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.72 : 1,397.67 = 438.07 : x
  2. Step 2: Convert to fraction form
    931.72/1,397.67 = 438.07/x
  3. Step 3: Cross multiply
    931.72x = 1,397.67 × 438.07
  4. Step 4: Simplify right side
    931.72x = 612,277.30
  5. Step 5: Solve for x
    x = 612,277.30/931.72
  6. Step 6: Final answer
    x = 657.15

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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.