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Finding the Fourth Proportional to 1,066.24, 1,599.82 and 372.53

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Solution

The fourth proportional to 1,066.24, 1,599.82 and 372.53 is: 558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.24 : 1,599.82 = 372.53 : x
  2. Step 2: Convert to fraction form
    1,066.24/1,599.82 = 372.53/x
  3. Step 3: Cross multiply
    1,066.24x = 1,599.82 × 372.53
  4. Step 4: Simplify right side
    1,066.24x = 595,980.94
  5. Step 5: Solve for x
    x = 595,980.94/1,066.24
  6. Step 6: Final answer
    x = 558.96

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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.