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Finding the Fourth Proportional to 1,527.49, 2,290.51 and 649.88

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Solution

The fourth proportional to 1,527.49, 2,290.51 and 649.88 is: 974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.49 : 2,290.51 = 649.88 : x
  2. Step 2: Convert to fraction form
    1,527.49/2,290.51 = 649.88/x
  3. Step 3: Cross multiply
    1,527.49x = 2,290.51 × 649.88
  4. Step 4: Simplify right side
    1,527.49x = 1,488,556.64
  5. Step 5: Solve for x
    x = 1,488,556.64/1,527.49
  6. Step 6: Final answer
    x = 974.51

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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.