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Finding the Fourth Proportional to 913.88, 1,369.67 and 524.20

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Solution

The fourth proportional to 913.88, 1,369.67 and 524.20 is: 785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.88 : 1,369.67 = 524.20 : x
  2. Step 2: Convert to fraction form
    913.88/1,369.67 = 524.20/x
  3. Step 3: Cross multiply
    913.88x = 1,369.67 × 524.20
  4. Step 4: Simplify right side
    913.88x = 717,981.01
  5. Step 5: Solve for x
    x = 717,981.01/913.88
  6. Step 6: Final answer
    x = 785.64

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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.