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Finding the Fourth Proportional to 563.85, 846.08 and 562.13

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Solution

The fourth proportional to 563.85, 846.08 and 562.13 is: 843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.85 : 846.08 = 562.13 : x
  2. Step 2: Convert to fraction form
    563.85/846.08 = 562.13/x
  3. Step 3: Cross multiply
    563.85x = 846.08 × 562.13
  4. Step 4: Simplify right side
    563.85x = 475,599.91
  5. Step 5: Solve for x
    x = 475,599.91/563.85
  6. Step 6: Final answer
    x = 843.49

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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.