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Finding the Fourth Proportional to 931.77, 1,396.98 and 469.22

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Solution

The fourth proportional to 931.77, 1,396.98 and 469.22 is: 703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.77 : 1,396.98 = 469.22 : x
  2. Step 2: Convert to fraction form
    931.77/1,396.98 = 469.22/x
  3. Step 3: Cross multiply
    931.77x = 1,396.98 × 469.22
  4. Step 4: Simplify right side
    931.77x = 655,483.97
  5. Step 5: Solve for x
    x = 655,483.97/931.77
  6. Step 6: Final answer
    x = 703.48

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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.