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Finding the Fourth Proportional to 705.92, 1,060.76 and 522.72

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Solution

The fourth proportional to 705.92, 1,060.76 and 522.72 is: 785.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.92 : 1,060.76 = 522.72 : x
  2. Step 2: Convert to fraction form
    705.92/1,060.76 = 522.72/x
  3. Step 3: Cross multiply
    705.92x = 1,060.76 × 522.72
  4. Step 4: Simplify right side
    705.92x = 554,481.77
  5. Step 5: Solve for x
    x = 554,481.77/705.92
  6. Step 6: Final answer
    x = 785.48

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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.