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Finding the Fourth Proportional to 1,066.41, 1,598.53 and 372.73

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Solution

The fourth proportional to 1,066.41, 1,598.53 and 372.73 is: 558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.41 : 1,598.53 = 372.73 : x
  2. Step 2: Convert to fraction form
    1,066.41/1,598.53 = 372.73/x
  3. Step 3: Cross multiply
    1,066.41x = 1,598.53 × 372.73
  4. Step 4: Simplify right side
    1,066.41x = 595,820.09
  5. Step 5: Solve for x
    x = 595,820.09/1,066.41
  6. Step 6: Final answer
    x = 558.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.