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Finding the Fourth Proportional to 1,113.72, 1,670.64 and 344.28

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Solution

The fourth proportional to 1,113.72, 1,670.64 and 344.28 is: 516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.72 : 1,670.64 = 344.28 : x
  2. Step 2: Convert to fraction form
    1,113.72/1,670.64 = 344.28/x
  3. Step 3: Cross multiply
    1,113.72x = 1,670.64 × 344.28
  4. Step 4: Simplify right side
    1,113.72x = 575,167.94
  5. Step 5: Solve for x
    x = 575,167.94/1,113.72
  6. Step 6: Final answer
    x = 516.44

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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.