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Finding the Fourth Proportional to 1,399.45, 1,931.24 and 810.08

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Solution

The fourth proportional to 1,399.45, 1,931.24 and 810.08 is: 1,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.45 : 1,931.24 = 810.08 : x
  2. Step 2: Convert to fraction form
    1,399.45/1,931.24 = 810.08/x
  3. Step 3: Cross multiply
    1,399.45x = 1,931.24 × 810.08
  4. Step 4: Simplify right side
    1,399.45x = 1,564,458.90
  5. Step 5: Solve for x
    x = 1,564,458.90/1,399.45
  6. Step 6: Final answer
    x = 1,117.91

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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.