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Finding the Fourth Proportional to 1,050.15, 1,575.56 and 502.27

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Solution

The fourth proportional to 1,050.15, 1,575.56 and 502.27 is: 753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.15 : 1,575.56 = 502.27 : x
  2. Step 2: Convert to fraction form
    1,050.15/1,575.56 = 502.27/x
  3. Step 3: Cross multiply
    1,050.15x = 1,575.56 × 502.27
  4. Step 4: Simplify right side
    1,050.15x = 791,356.52
  5. Step 5: Solve for x
    x = 791,356.52/1,050.15
  6. Step 6: Final answer
    x = 753.57

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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.