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Finding the Fourth Proportional to 913.61, 1,370.64 and 426.98

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Solution

The fourth proportional to 913.61, 1,370.64 and 426.98 is: 640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.61 : 1,370.64 = 426.98 : x
  2. Step 2: Convert to fraction form
    913.61/1,370.64 = 426.98/x
  3. Step 3: Cross multiply
    913.61x = 1,370.64 × 426.98
  4. Step 4: Simplify right side
    913.61x = 585,235.87
  5. Step 5: Solve for x
    x = 585,235.87/913.61
  6. Step 6: Final answer
    x = 640.58

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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.