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Finding the Fourth Proportional to 1,509.40, 2,264.56 and 687.48

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Solution

The fourth proportional to 1,509.40, 2,264.56 and 687.48 is: 1,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.40 : 2,264.56 = 687.48 : x
  2. Step 2: Convert to fraction form
    1,509.40/2,264.56 = 687.48/x
  3. Step 3: Cross multiply
    1,509.40x = 2,264.56 × 687.48
  4. Step 4: Simplify right side
    1,509.40x = 1,556,839.71
  5. Step 5: Solve for x
    x = 1,556,839.71/1,509.40
  6. Step 6: Final answer
    x = 1,031.43

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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.