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Finding the Fourth Proportional to 1,430.69, 1,974.45 and 801.27

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Solution

The fourth proportional to 1,430.69, 1,974.45 and 801.27 is: 1,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.69 : 1,974.45 = 801.27 : x
  2. Step 2: Convert to fraction form
    1,430.69/1,974.45 = 801.27/x
  3. Step 3: Cross multiply
    1,430.69x = 1,974.45 × 801.27
  4. Step 4: Simplify right side
    1,430.69x = 1,582,057.14
  5. Step 5: Solve for x
    x = 1,582,057.14/1,430.69
  6. Step 6: Final answer
    x = 1,105.80

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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.