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Finding the Fourth Proportional to 666.76, 919.14 and 535.84

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Solution

The fourth proportional to 666.76, 919.14 and 535.84 is: 738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.76 : 919.14 = 535.84 : x
  2. Step 2: Convert to fraction form
    666.76/919.14 = 535.84/x
  3. Step 3: Cross multiply
    666.76x = 919.14 × 535.84
  4. Step 4: Simplify right side
    666.76x = 492,511.98
  5. Step 5: Solve for x
    x = 492,511.98/666.76
  6. Step 6: Final answer
    x = 738.66

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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.