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Finding the Fourth Proportional to 715.30, 986.22 and 452.86

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Solution

The fourth proportional to 715.30, 986.22 and 452.86 is: 624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.30 : 986.22 = 452.86 : x
  2. Step 2: Convert to fraction form
    715.30/986.22 = 452.86/x
  3. Step 3: Cross multiply
    715.30x = 986.22 × 452.86
  4. Step 4: Simplify right side
    715.30x = 446,619.59
  5. Step 5: Solve for x
    x = 446,619.59/715.30
  6. Step 6: Final answer
    x = 624.38

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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.