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Finding the Fourth Proportional to 1,507.99, 2,080.62 and 918.11

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Solution

The fourth proportional to 1,507.99, 2,080.62 and 918.11 is: 1,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.99 : 2,080.62 = 918.11 : x
  2. Step 2: Convert to fraction form
    1,507.99/2,080.62 = 918.11/x
  3. Step 3: Cross multiply
    1,507.99x = 2,080.62 × 918.11
  4. Step 4: Simplify right side
    1,507.99x = 1,910,238.03
  5. Step 5: Solve for x
    x = 1,910,238.03/1,507.99
  6. Step 6: Final answer
    x = 1,266.74

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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.