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Finding the Fourth Proportional to 910.04, 1,366.92 and 865.79

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Solution

The fourth proportional to 910.04, 1,366.92 and 865.79 is: 1,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.04 : 1,366.92 = 865.79 : x
  2. Step 2: Convert to fraction form
    910.04/1,366.92 = 865.79/x
  3. Step 3: Cross multiply
    910.04x = 1,366.92 × 865.79
  4. Step 4: Simplify right side
    910.04x = 1,183,458.83
  5. Step 5: Solve for x
    x = 1,183,458.83/910.04
  6. Step 6: Final answer
    x = 1,300.45

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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.