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Finding the Fourth Proportional to 735.19, 1,014.45 and 440.44

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Solution

The fourth proportional to 735.19, 1,014.45 and 440.44 is: 607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.19 : 1,014.45 = 440.44 : x
  2. Step 2: Convert to fraction form
    735.19/1,014.45 = 440.44/x
  3. Step 3: Cross multiply
    735.19x = 1,014.45 × 440.44
  4. Step 4: Simplify right side
    735.19x = 446,804.36
  5. Step 5: Solve for x
    x = 446,804.36/735.19
  6. Step 6: Final answer
    x = 607.74

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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.