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Finding the Fourth Proportional to 1,772.57, 2,658.86 and 618.32

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Solution

The fourth proportional to 1,772.57, 2,658.86 and 618.32 is: 927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.57 : 2,658.86 = 618.32 : x
  2. Step 2: Convert to fraction form
    1,772.57/2,658.86 = 618.32/x
  3. Step 3: Cross multiply
    1,772.57x = 2,658.86 × 618.32
  4. Step 4: Simplify right side
    1,772.57x = 1,644,009.93
  5. Step 5: Solve for x
    x = 1,644,009.93/1,772.57
  6. Step 6: Final answer
    x = 927.48

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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.