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Finding the Fourth Proportional to 1,104.84, 1,657.94 and 1,095.66

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Solution

The fourth proportional to 1,104.84, 1,657.94 and 1,095.66 is: 1,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.84 : 1,657.94 = 1,095.66 : x
  2. Step 2: Convert to fraction form
    1,104.84/1,657.94 = 1,095.66/x
  3. Step 3: Cross multiply
    1,104.84x = 1,657.94 × 1,095.66
  4. Step 4: Simplify right side
    1,104.84x = 1,816,533.06
  5. Step 5: Solve for x
    x = 1,816,533.06/1,104.84
  6. Step 6: Final answer
    x = 1,644.16

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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.