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Finding the Fourth Proportional to 1,009.73, 1,513.40 and 599.17

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Solution

The fourth proportional to 1,009.73, 1,513.40 and 599.17 is: 898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.73 : 1,513.40 = 599.17 : x
  2. Step 2: Convert to fraction form
    1,009.73/1,513.40 = 599.17/x
  3. Step 3: Cross multiply
    1,009.73x = 1,513.40 × 599.17
  4. Step 4: Simplify right side
    1,009.73x = 906,780.88
  5. Step 5: Solve for x
    x = 906,780.88/1,009.73
  6. Step 6: Final answer
    x = 898.04

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Why These Related Problems?

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