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Finding the Fourth Proportional to 1,006.59, 1,389.25 and 613.54

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Solution

The fourth proportional to 1,006.59, 1,389.25 and 613.54 is: 846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.59 : 1,389.25 = 613.54 : x
  2. Step 2: Convert to fraction form
    1,006.59/1,389.25 = 613.54/x
  3. Step 3: Cross multiply
    1,006.59x = 1,389.25 × 613.54
  4. Step 4: Simplify right side
    1,006.59x = 852,362.95
  5. Step 5: Solve for x
    x = 852,362.95/1,006.59
  6. Step 6: Final answer
    x = 846.78

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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.