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Finding the Fourth Proportional to 1,141.19, 1,574.66 and 721.77

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Solution

The fourth proportional to 1,141.19, 1,574.66 and 721.77 is: 995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.19 : 1,574.66 = 721.77 : x
  2. Step 2: Convert to fraction form
    1,141.19/1,574.66 = 721.77/x
  3. Step 3: Cross multiply
    1,141.19x = 1,574.66 × 721.77
  4. Step 4: Simplify right side
    1,141.19x = 1,136,542.35
  5. Step 5: Solve for x
    x = 1,136,542.35/1,141.19
  6. Step 6: Final answer
    x = 995.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.