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Finding the Fourth Proportional to 913.70, 1,259.16 and 651.26

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Solution

The fourth proportional to 913.70, 1,259.16 and 651.26 is: 897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.70 : 1,259.16 = 651.26 : x
  2. Step 2: Convert to fraction form
    913.70/1,259.16 = 651.26/x
  3. Step 3: Cross multiply
    913.70x = 1,259.16 × 651.26
  4. Step 4: Simplify right side
    913.70x = 820,040.54
  5. Step 5: Solve for x
    x = 820,040.54/913.70
  6. Step 6: Final answer
    x = 897.49

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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.