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Finding the Fourth Proportional to 1,397.25, 1,927.73 and 807.57

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Solution

The fourth proportional to 1,397.25, 1,927.73 and 807.57 is: 1,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.25 : 1,927.73 = 807.57 : x
  2. Step 2: Convert to fraction form
    1,397.25/1,927.73 = 807.57/x
  3. Step 3: Cross multiply
    1,397.25x = 1,927.73 × 807.57
  4. Step 4: Simplify right side
    1,397.25x = 1,556,778.94
  5. Step 5: Solve for x
    x = 1,556,778.94/1,397.25
  6. Step 6: Final answer
    x = 1,114.17

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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.