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Finding the Fourth Proportional to 1,772.07, 2,657.22 and 661.11

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Solution

The fourth proportional to 1,772.07, 2,657.22 and 661.11 is: 991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.07 : 2,657.22 = 661.11 : x
  2. Step 2: Convert to fraction form
    1,772.07/2,657.22 = 661.11/x
  3. Step 3: Cross multiply
    1,772.07x = 2,657.22 × 661.11
  4. Step 4: Simplify right side
    1,772.07x = 1,756,714.71
  5. Step 5: Solve for x
    x = 1,756,714.71/1,772.07
  6. Step 6: Final answer
    x = 991.33

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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.