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Finding the Fourth Proportional to 1,523.80, 2,283.96 and 599.08

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Solution

The fourth proportional to 1,523.80, 2,283.96 and 599.08 is: 897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.80 : 2,283.96 = 599.08 : x
  2. Step 2: Convert to fraction form
    1,523.80/2,283.96 = 599.08/x
  3. Step 3: Cross multiply
    1,523.80x = 2,283.96 × 599.08
  4. Step 4: Simplify right side
    1,523.80x = 1,368,274.76
  5. Step 5: Solve for x
    x = 1,368,274.76/1,523.80
  6. Step 6: Final answer
    x = 897.94

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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.