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Finding the Fourth Proportional to 1,392.68, 1,922.25 and 803.57

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Solution

The fourth proportional to 1,392.68, 1,922.25 and 803.57 is: 1,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.68 : 1,922.25 = 803.57 : x
  2. Step 2: Convert to fraction form
    1,392.68/1,922.25 = 803.57/x
  3. Step 3: Cross multiply
    1,392.68x = 1,922.25 × 803.57
  4. Step 4: Simplify right side
    1,392.68x = 1,544,658.41
  5. Step 5: Solve for x
    x = 1,544,658.41/1,392.68
  6. Step 6: Final answer
    x = 1,109.13

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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.