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Finding the Fourth Proportional to 1,010.36, 1,518.39 and 599.57

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Solution

The fourth proportional to 1,010.36, 1,518.39 and 599.57 is: 901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.36 : 1,518.39 = 599.57 : x
  2. Step 2: Convert to fraction form
    1,010.36/1,518.39 = 599.57/x
  3. Step 3: Cross multiply
    1,010.36x = 1,518.39 × 599.57
  4. Step 4: Simplify right side
    1,010.36x = 910,381.09
  5. Step 5: Solve for x
    x = 910,381.09/1,010.36
  6. Step 6: Final answer
    x = 901.05

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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.