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Finding the Fourth Proportional to 735.38, 1,014.54 and 486.86

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Solution

The fourth proportional to 735.38, 1,014.54 and 486.86 is: 671.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.38 : 1,014.54 = 486.86 : x
  2. Step 2: Convert to fraction form
    735.38/1,014.54 = 486.86/x
  3. Step 3: Cross multiply
    735.38x = 1,014.54 × 486.86
  4. Step 4: Simplify right side
    735.38x = 493,938.94
  5. Step 5: Solve for x
    x = 493,938.94/735.38
  6. Step 6: Final answer
    x = 671.68

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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.