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Finding the Fourth Proportional to 822.68, 1,234.16 and 411.74

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Solution

The fourth proportional to 822.68, 1,234.16 and 411.74 is: 617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.68 : 1,234.16 = 411.74 : x
  2. Step 2: Convert to fraction form
    822.68/1,234.16 = 411.74/x
  3. Step 3: Cross multiply
    822.68x = 1,234.16 × 411.74
  4. Step 4: Simplify right side
    822.68x = 508,144.81
  5. Step 5: Solve for x
    x = 508,144.81/822.68
  6. Step 6: Final answer
    x = 617.67

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Half scale
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Double scale
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1.5x scale

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.