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Finding the Fourth Proportional to 1,397.09, 1,927.83 and 807.81

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Solution

The fourth proportional to 1,397.09, 1,927.83 and 807.81 is: 1,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.09 : 1,927.83 = 807.81 : x
  2. Step 2: Convert to fraction form
    1,397.09/1,927.83 = 807.81/x
  3. Step 3: Cross multiply
    1,397.09x = 1,927.83 × 807.81
  4. Step 4: Simplify right side
    1,397.09x = 1,557,320.35
  5. Step 5: Solve for x
    x = 1,557,320.35/1,397.09
  6. Step 6: Final answer
    x = 1,114.69

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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.