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Finding the Fourth Proportional to 1,033.23, 1,549.63 and 599.88

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Solution

The fourth proportional to 1,033.23, 1,549.63 and 599.88 is: 899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.23 : 1,549.63 = 599.88 : x
  2. Step 2: Convert to fraction form
    1,033.23/1,549.63 = 599.88/x
  3. Step 3: Cross multiply
    1,033.23x = 1,549.63 × 599.88
  4. Step 4: Simplify right side
    1,033.23x = 929,592.04
  5. Step 5: Solve for x
    x = 929,592.04/1,033.23
  6. Step 6: Final answer
    x = 899.70

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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.