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Finding the Fourth Proportional to 1,477.93, 2,217.42 and 746.95

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Solution

The fourth proportional to 1,477.93, 2,217.42 and 746.95 is: 1,120.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.93 : 2,217.42 = 746.95 : x
  2. Step 2: Convert to fraction form
    1,477.93/2,217.42 = 746.95/x
  3. Step 3: Cross multiply
    1,477.93x = 2,217.42 × 746.95
  4. Step 4: Simplify right side
    1,477.93x = 1,656,301.87
  5. Step 5: Solve for x
    x = 1,656,301.87/1,477.93
  6. Step 6: Final answer
    x = 1,120.69

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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.