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Finding the Fourth Proportional to 925.90, 1,388.12 and 463.44

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Solution

The fourth proportional to 925.90, 1,388.12 and 463.44 is: 694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.90 : 1,388.12 = 463.44 : x
  2. Step 2: Convert to fraction form
    925.90/1,388.12 = 463.44/x
  3. Step 3: Cross multiply
    925.90x = 1,388.12 × 463.44
  4. Step 4: Simplify right side
    925.90x = 643,311.49
  5. Step 5: Solve for x
    x = 643,311.49/925.90
  6. Step 6: Final answer
    x = 694.80

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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.