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Finding the Fourth Proportional to 1,006.48, 1,507.26 and 616.66

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Solution

The fourth proportional to 1,006.48, 1,507.26 and 616.66 is: 923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.48 : 1,507.26 = 616.66 : x
  2. Step 2: Convert to fraction form
    1,006.48/1,507.26 = 616.66/x
  3. Step 3: Cross multiply
    1,006.48x = 1,507.26 × 616.66
  4. Step 4: Simplify right side
    1,006.48x = 929,466.95
  5. Step 5: Solve for x
    x = 929,466.95/1,006.48
  6. Step 6: Final answer
    x = 923.48

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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.