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Finding the Fourth Proportional to 735.50, 1,014.90 and 440.75

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Solution

The fourth proportional to 735.50, 1,014.90 and 440.75 is: 608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.50 : 1,014.90 = 440.75 : x
  2. Step 2: Convert to fraction form
    735.50/1,014.90 = 440.75/x
  3. Step 3: Cross multiply
    735.50x = 1,014.90 × 440.75
  4. Step 4: Simplify right side
    735.50x = 447,317.18
  5. Step 5: Solve for x
    x = 447,317.18/735.50
  6. Step 6: Final answer
    x = 608.18

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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.