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Finding the Fourth Proportional to 663.08, 914.10 and 514.76

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Solution

The fourth proportional to 663.08, 914.10 and 514.76 is: 709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.08 : 914.10 = 514.76 : x
  2. Step 2: Convert to fraction form
    663.08/914.10 = 514.76/x
  3. Step 3: Cross multiply
    663.08x = 914.10 × 514.76
  4. Step 4: Simplify right side
    663.08x = 470,542.12
  5. Step 5: Solve for x
    x = 470,542.12/663.08
  6. Step 6: Final answer
    x = 709.63

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.