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Finding the Fourth Proportional to 1,010.62, 1,513.50 and 599.41

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Solution

The fourth proportional to 1,010.62, 1,513.50 and 599.41 is: 897.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.62 : 1,513.50 = 599.41 : x
  2. Step 2: Convert to fraction form
    1,010.62/1,513.50 = 599.41/x
  3. Step 3: Cross multiply
    1,010.62x = 1,513.50 × 599.41
  4. Step 4: Simplify right side
    1,010.62x = 907,207.04
  5. Step 5: Solve for x
    x = 907,207.04/1,010.62
  6. Step 6: Final answer
    x = 897.67

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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.