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Finding the Fourth Proportional to 1,399.49, 1,931.27 and 810.02

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Solution

The fourth proportional to 1,399.49, 1,931.27 and 810.02 is: 1,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.49 : 1,931.27 = 810.02 : x
  2. Step 2: Convert to fraction form
    1,399.49/1,931.27 = 810.02/x
  3. Step 3: Cross multiply
    1,399.49x = 1,931.27 × 810.02
  4. Step 4: Simplify right side
    1,399.49x = 1,564,353.62
  5. Step 5: Solve for x
    x = 1,564,353.62/1,399.49
  6. Step 6: Final answer
    x = 1,117.80

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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.