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Finding the Fourth Proportional to 663.02, 914.54 and 522.92

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Solution

The fourth proportional to 663.02, 914.54 and 522.92 is: 721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 914.54 = 522.92 : x
  2. Step 2: Convert to fraction form
    663.02/914.54 = 522.92/x
  3. Step 3: Cross multiply
    663.02x = 914.54 × 522.92
  4. Step 4: Simplify right side
    663.02x = 478,231.26
  5. Step 5: Solve for x
    x = 478,231.26/663.02
  6. Step 6: Final answer
    x = 721.29

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Half scale
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Double scale
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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.