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Finding the Fourth Proportional to 931.65, 1,396.22 and 492.79

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Solution

The fourth proportional to 931.65, 1,396.22 and 492.79 is: 738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.65 : 1,396.22 = 492.79 : x
  2. Step 2: Convert to fraction form
    931.65/1,396.22 = 492.79/x
  3. Step 3: Cross multiply
    931.65x = 1,396.22 × 492.79
  4. Step 4: Simplify right side
    931.65x = 688,043.25
  5. Step 5: Solve for x
    x = 688,043.25/931.65
  6. Step 6: Final answer
    x = 738.52

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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.