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Finding the Fourth Proportional to 913.05, 1,259.28 and 617.94

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Solution

The fourth proportional to 913.05, 1,259.28 and 617.94 is: 852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.05 : 1,259.28 = 617.94 : x
  2. Step 2: Convert to fraction form
    913.05/1,259.28 = 617.94/x
  3. Step 3: Cross multiply
    913.05x = 1,259.28 × 617.94
  4. Step 4: Simplify right side
    913.05x = 778,159.48
  5. Step 5: Solve for x
    x = 778,159.48/913.05
  6. Step 6: Final answer
    x = 852.26

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