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Finding the Fourth Proportional to 862.52, 1,190.26 and 530.94

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Solution

The fourth proportional to 862.52, 1,190.26 and 530.94 is: 732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.52 : 1,190.26 = 530.94 : x
  2. Step 2: Convert to fraction form
    862.52/1,190.26 = 530.94/x
  3. Step 3: Cross multiply
    862.52x = 1,190.26 × 530.94
  4. Step 4: Simplify right side
    862.52x = 631,950.85
  5. Step 5: Solve for x
    x = 631,950.85/862.52
  6. Step 6: Final answer
    x = 732.68

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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.