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Finding the Fourth Proportional to 736.03, 1,015.72 and 425.53

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Solution

The fourth proportional to 736.03, 1,015.72 and 425.53 is: 587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.03 : 1,015.72 = 425.53 : x
  2. Step 2: Convert to fraction form
    736.03/1,015.72 = 425.53/x
  3. Step 3: Cross multiply
    736.03x = 1,015.72 × 425.53
  4. Step 4: Simplify right side
    736.03x = 432,221.93
  5. Step 5: Solve for x
    x = 432,221.93/736.03
  6. Step 6: Final answer
    x = 587.23

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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.