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Finding the Fourth Proportional to 1,526.38, 2,290.22 and 649.48

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Solution

The fourth proportional to 1,526.38, 2,290.22 and 649.48 is: 974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.38 : 2,290.22 = 649.48 : x
  2. Step 2: Convert to fraction form
    1,526.38/2,290.22 = 649.48/x
  3. Step 3: Cross multiply
    1,526.38x = 2,290.22 × 649.48
  4. Step 4: Simplify right side
    1,526.38x = 1,487,452.09
  5. Step 5: Solve for x
    x = 1,487,452.09/1,526.38
  6. Step 6: Final answer
    x = 974.50

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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.