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Finding the Fourth Proportional to 1,246.16, 1,719.14 and 803.90

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Solution

The fourth proportional to 1,246.16, 1,719.14 and 803.90 is: 1,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.16 : 1,719.14 = 803.90 : x
  2. Step 2: Convert to fraction form
    1,246.16/1,719.14 = 803.90/x
  3. Step 3: Cross multiply
    1,246.16x = 1,719.14 × 803.90
  4. Step 4: Simplify right side
    1,246.16x = 1,382,004.03
  5. Step 5: Solve for x
    x = 1,382,004.03/1,246.16
  6. Step 6: Final answer
    x = 1,109.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.