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Finding the Fourth Proportional to 1,166.19, 1,746.75 and 731.22

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Solution

The fourth proportional to 1,166.19, 1,746.75 and 731.22 is: 1,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.19 : 1,746.75 = 731.22 : x
  2. Step 2: Convert to fraction form
    1,166.19/1,746.75 = 731.22/x
  3. Step 3: Cross multiply
    1,166.19x = 1,746.75 × 731.22
  4. Step 4: Simplify right side
    1,166.19x = 1,277,258.54
  5. Step 5: Solve for x
    x = 1,277,258.54/1,166.19
  6. Step 6: Final answer
    x = 1,095.24

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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.