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Finding the Fourth Proportional to 735.31, 1,014.77 and 440.78

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Solution

The fourth proportional to 735.31, 1,014.77 and 440.78 is: 608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.31 : 1,014.77 = 440.78 : x
  2. Step 2: Convert to fraction form
    735.31/1,014.77 = 440.78/x
  3. Step 3: Cross multiply
    735.31x = 1,014.77 × 440.78
  4. Step 4: Simplify right side
    735.31x = 447,288.12
  5. Step 5: Solve for x
    x = 447,288.12/735.31
  6. Step 6: Final answer
    x = 608.30

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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.