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Finding the Fourth Proportional to 1,109.72, 1,665 and 340.28

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Solution

The fourth proportional to 1,109.72, 1,665 and 340.28 is: 510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.72 : 1,665 = 340.28 : x
  2. Step 2: Convert to fraction form
    1,109.72/1,665 = 340.28/x
  3. Step 3: Cross multiply
    1,109.72x = 1,665 × 340.28
  4. Step 4: Simplify right side
    1,109.72x = 566,566.20
  5. Step 5: Solve for x
    x = 566,566.20/1,109.72
  6. Step 6: Final answer
    x = 510.55

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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.