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Finding the Fourth Proportional to 931.14, 1,396.88 and 469.15

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Solution

The fourth proportional to 931.14, 1,396.88 and 469.15 is: 703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.14 : 1,396.88 = 469.15 : x
  2. Step 2: Convert to fraction form
    931.14/1,396.88 = 469.15/x
  3. Step 3: Cross multiply
    931.14x = 1,396.88 × 469.15
  4. Step 4: Simplify right side
    931.14x = 655,346.25
  5. Step 5: Solve for x
    x = 655,346.25/931.14
  6. Step 6: Final answer
    x = 703.81

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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.