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Finding the Fourth Proportional to 1,399.61, 1,931.31 and 810.02

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Solution

The fourth proportional to 1,399.61, 1,931.31 and 810.02 is: 1,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.61 : 1,931.31 = 810.02 : x
  2. Step 2: Convert to fraction form
    1,399.61/1,931.31 = 810.02/x
  3. Step 3: Cross multiply
    1,399.61x = 1,931.31 × 810.02
  4. Step 4: Simplify right side
    1,399.61x = 1,564,390.07
  5. Step 5: Solve for x
    x = 1,564,390.07/1,399.61
  6. Step 6: Final answer
    x = 1,117.74

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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.