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Finding the Fourth Proportional to 1,400.99, 1,933.58 and 803.68

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Solution

The fourth proportional to 1,400.99, 1,933.58 and 803.68 is: 1,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.99 : 1,933.58 = 803.68 : x
  2. Step 2: Convert to fraction form
    1,400.99/1,933.58 = 803.68/x
  3. Step 3: Cross multiply
    1,400.99x = 1,933.58 × 803.68
  4. Step 4: Simplify right side
    1,400.99x = 1,553,976.75
  5. Step 5: Solve for x
    x = 1,553,976.75/1,400.99
  6. Step 6: Final answer
    x = 1,109.20

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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.