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Finding the Fourth Proportional to 1,111.07, 1,665.96 and 461.07

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Solution

The fourth proportional to 1,111.07, 1,665.96 and 461.07 is: 691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.07 : 1,665.96 = 461.07 : x
  2. Step 2: Convert to fraction form
    1,111.07/1,665.96 = 461.07/x
  3. Step 3: Cross multiply
    1,111.07x = 1,665.96 × 461.07
  4. Step 4: Simplify right side
    1,111.07x = 768,124.18
  5. Step 5: Solve for x
    x = 768,124.18/1,111.07
  6. Step 6: Final answer
    x = 691.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.