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Finding the Fourth Proportional to 1,399.33, 1,931.41 and 810.19

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Solution

The fourth proportional to 1,399.33, 1,931.41 and 810.19 is: 1,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.33 : 1,931.41 = 810.19 : x
  2. Step 2: Convert to fraction form
    1,399.33/1,931.41 = 810.19/x
  3. Step 3: Cross multiply
    1,399.33x = 1,931.41 × 810.19
  4. Step 4: Simplify right side
    1,399.33x = 1,564,809.07
  5. Step 5: Solve for x
    x = 1,564,809.07/1,399.33
  6. Step 6: Final answer
    x = 1,118.26

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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.