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Finding the Fourth Proportional to 1,139.02, 1,707.38 and 773.98

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Solution

The fourth proportional to 1,139.02, 1,707.38 and 773.98 is: 1,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.02 : 1,707.38 = 773.98 : x
  2. Step 2: Convert to fraction form
    1,139.02/1,707.38 = 773.98/x
  3. Step 3: Cross multiply
    1,139.02x = 1,707.38 × 773.98
  4. Step 4: Simplify right side
    1,139.02x = 1,321,477.97
  5. Step 5: Solve for x
    x = 1,321,477.97/1,139.02
  6. Step 6: Final answer
    x = 1,160.19

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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.