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Finding the Fourth Proportional to 1,397.51, 1,928.24 and 807.94

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Solution

The fourth proportional to 1,397.51, 1,928.24 and 807.94 is: 1,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.51 : 1,928.24 = 807.94 : x
  2. Step 2: Convert to fraction form
    1,397.51/1,928.24 = 807.94/x
  3. Step 3: Cross multiply
    1,397.51x = 1,928.24 × 807.94
  4. Step 4: Simplify right side
    1,397.51x = 1,557,892.58
  5. Step 5: Solve for x
    x = 1,557,892.58/1,397.51
  6. Step 6: Final answer
    x = 1,114.77

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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.