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Finding the Fourth Proportional to 1,076.34, 1,614.75 and 345.93

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Solution

The fourth proportional to 1,076.34, 1,614.75 and 345.93 is: 518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.34 : 1,614.75 = 345.93 : x
  2. Step 2: Convert to fraction form
    1,076.34/1,614.75 = 345.93/x
  3. Step 3: Cross multiply
    1,076.34x = 1,614.75 × 345.93
  4. Step 4: Simplify right side
    1,076.34x = 558,590.47
  5. Step 5: Solve for x
    x = 558,590.47/1,076.34
  6. Step 6: Final answer
    x = 518.97

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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.