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Finding the Fourth Proportional to 910.09, 1,365.13 and 260.83

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Solution

The fourth proportional to 910.09, 1,365.13 and 260.83 is: 391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.09 : 1,365.13 = 260.83 : x
  2. Step 2: Convert to fraction form
    910.09/1,365.13 = 260.83/x
  3. Step 3: Cross multiply
    910.09x = 1,365.13 × 260.83
  4. Step 4: Simplify right side
    910.09x = 356,059.38
  5. Step 5: Solve for x
    x = 356,059.38/910.09
  6. Step 6: Final answer
    x = 391.24

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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.