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Finding the Fourth Proportional to 707.73, 1,060.66 and 342.31

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Solution

The fourth proportional to 707.73, 1,060.66 and 342.31 is: 513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.73 : 1,060.66 = 342.31 : x
  2. Step 2: Convert to fraction form
    707.73/1,060.66 = 342.31/x
  3. Step 3: Cross multiply
    707.73x = 1,060.66 × 342.31
  4. Step 4: Simplify right side
    707.73x = 363,074.52
  5. Step 5: Solve for x
    x = 363,074.52/707.73
  6. Step 6: Final answer
    x = 513.01

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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.