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Finding the Fourth Proportional to 1,192.93, 1,790.51 and 645.54

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Solution

The fourth proportional to 1,192.93, 1,790.51 and 645.54 is: 968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.93 : 1,790.51 = 645.54 : x
  2. Step 2: Convert to fraction form
    1,192.93/1,790.51 = 645.54/x
  3. Step 3: Cross multiply
    1,192.93x = 1,790.51 × 645.54
  4. Step 4: Simplify right side
    1,192.93x = 1,155,845.83
  5. Step 5: Solve for x
    x = 1,155,845.83/1,192.93
  6. Step 6: Final answer
    x = 968.91

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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.