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Finding the Fourth Proportional to 1,527.27, 2,289.27 and 649.59

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Solution

The fourth proportional to 1,527.27, 2,289.27 and 649.59 is: 973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.27 : 2,289.27 = 649.59 : x
  2. Step 2: Convert to fraction form
    1,527.27/2,289.27 = 649.59/x
  3. Step 3: Cross multiply
    1,527.27x = 2,289.27 × 649.59
  4. Step 4: Simplify right side
    1,527.27x = 1,487,086.90
  5. Step 5: Solve for x
    x = 1,487,086.90/1,527.27
  6. Step 6: Final answer
    x = 973.69

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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.