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Finding the Fourth Proportional to 931.13, 1,396.80 and 383.24

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Solution

The fourth proportional to 931.13, 1,396.80 and 383.24 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.13 : 1,396.80 = 383.24 : x
  2. Step 2: Convert to fraction form
    931.13/1,396.80 = 383.24/x
  3. Step 3: Cross multiply
    931.13x = 1,396.80 × 383.24
  4. Step 4: Simplify right side
    931.13x = 535,302.65
  5. Step 5: Solve for x
    x = 535,302.65/931.13
  6. Step 6: Final answer
    x = 574.90

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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.