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Finding the Fourth Proportional to 1,021.45, 1,530.15 and 558.55

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Solution

The fourth proportional to 1,021.45, 1,530.15 and 558.55 is: 836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.45 : 1,530.15 = 558.55 : x
  2. Step 2: Convert to fraction form
    1,021.45/1,530.15 = 558.55/x
  3. Step 3: Cross multiply
    1,021.45x = 1,530.15 × 558.55
  4. Step 4: Simplify right side
    1,021.45x = 854,665.28
  5. Step 5: Solve for x
    x = 854,665.28/1,021.45
  6. Step 6: Final answer
    x = 836.72

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