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Finding the Fourth Proportional to 842.72, 1,162.36 and 562.82

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Solution

The fourth proportional to 842.72, 1,162.36 and 562.82 is: 776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.72 : 1,162.36 = 562.82 : x
  2. Step 2: Convert to fraction form
    842.72/1,162.36 = 562.82/x
  3. Step 3: Cross multiply
    842.72x = 1,162.36 × 562.82
  4. Step 4: Simplify right side
    842.72x = 654,199.46
  5. Step 5: Solve for x
    x = 654,199.46/842.72
  6. Step 6: Final answer
    x = 776.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.