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Finding the Fourth Proportional to 735.60, 1,014.77 and 440.81

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Solution

The fourth proportional to 735.60, 1,014.77 and 440.81 is: 608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.60 : 1,014.77 = 440.81 : x
  2. Step 2: Convert to fraction form
    735.60/1,014.77 = 440.81/x
  3. Step 3: Cross multiply
    735.60x = 1,014.77 × 440.81
  4. Step 4: Simplify right side
    735.60x = 447,320.76
  5. Step 5: Solve for x
    x = 447,320.76/735.60
  6. Step 6: Final answer
    x = 608.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.