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Finding the Fourth Proportional to 913.89, 1,261.41 and 559.93

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Solution

The fourth proportional to 913.89, 1,261.41 and 559.93 is: 772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.89 : 1,261.41 = 559.93 : x
  2. Step 2: Convert to fraction form
    913.89/1,261.41 = 559.93/x
  3. Step 3: Cross multiply
    913.89x = 1,261.41 × 559.93
  4. Step 4: Simplify right side
    913.89x = 706,298.50
  5. Step 5: Solve for x
    x = 706,298.50/913.89
  6. Step 6: Final answer
    x = 772.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.