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Finding the Fourth Proportional to 1,342.82, 2,014.02 and 476.94

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Solution

The fourth proportional to 1,342.82, 2,014.02 and 476.94 is: 715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.82 : 2,014.02 = 476.94 : x
  2. Step 2: Convert to fraction form
    1,342.82/2,014.02 = 476.94/x
  3. Step 3: Cross multiply
    1,342.82x = 2,014.02 × 476.94
  4. Step 4: Simplify right side
    1,342.82x = 960,566.70
  5. Step 5: Solve for x
    x = 960,566.70/1,342.82
  6. Step 6: Final answer
    x = 715.34

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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.