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Finding the Fourth Proportional to 1,000.94, 1,502.07 and 351.66

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Solution

The fourth proportional to 1,000.94, 1,502.07 and 351.66 is: 527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.94 : 1,502.07 = 351.66 : x
  2. Step 2: Convert to fraction form
    1,000.94/1,502.07 = 351.66/x
  3. Step 3: Cross multiply
    1,000.94x = 1,502.07 × 351.66
  4. Step 4: Simplify right side
    1,000.94x = 528,217.94
  5. Step 5: Solve for x
    x = 528,217.94/1,000.94
  6. Step 6: Final answer
    x = 527.72

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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.