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Finding the Fourth Proportional to 1,207.66, 1,667.93 and 814

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Solution

The fourth proportional to 1,207.66, 1,667.93 and 814 is: 1,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.66 : 1,667.93 = 814 : x
  2. Step 2: Convert to fraction form
    1,207.66/1,667.93 = 814/x
  3. Step 3: Cross multiply
    1,207.66x = 1,667.93 × 814
  4. Step 4: Simplify right side
    1,207.66x = 1,357,695.02
  5. Step 5: Solve for x
    x = 1,357,695.02/1,207.66
  6. Step 6: Final answer
    x = 1,124.24

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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.