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Finding the Fourth Proportional to 1,405.16, 1,939.02 and 807.72

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Solution

The fourth proportional to 1,405.16, 1,939.02 and 807.72 is: 1,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.16 : 1,939.02 = 807.72 : x
  2. Step 2: Convert to fraction form
    1,405.16/1,939.02 = 807.72/x
  3. Step 3: Cross multiply
    1,405.16x = 1,939.02 × 807.72
  4. Step 4: Simplify right side
    1,405.16x = 1,566,185.23
  5. Step 5: Solve for x
    x = 1,566,185.23/1,405.16
  6. Step 6: Final answer
    x = 1,114.60

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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.