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Finding the Fourth Proportional to 728.66, 1,005.44 and 433.86

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Solution

The fourth proportional to 728.66, 1,005.44 and 433.86 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.66 : 1,005.44 = 433.86 : x
  2. Step 2: Convert to fraction form
    728.66/1,005.44 = 433.86/x
  3. Step 3: Cross multiply
    728.66x = 1,005.44 × 433.86
  4. Step 4: Simplify right side
    728.66x = 436,220.20
  5. Step 5: Solve for x
    x = 436,220.20/728.66
  6. Step 6: Final answer
    x = 598.66

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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.