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Finding the Fourth Proportional to 910.17, 1,365.02 and 260.75

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Solution

The fourth proportional to 910.17, 1,365.02 and 260.75 is: 391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.17 : 1,365.02 = 260.75 : x
  2. Step 2: Convert to fraction form
    910.17/1,365.02 = 260.75/x
  3. Step 3: Cross multiply
    910.17x = 1,365.02 × 260.75
  4. Step 4: Simplify right side
    910.17x = 355,932.05
  5. Step 5: Solve for x
    x = 355,932.05/910.17
  6. Step 6: Final answer
    x = 391.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.