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Finding the Fourth Proportional to 1,509.57, 2,265.26 and 688.23

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Solution

The fourth proportional to 1,509.57, 2,265.26 and 688.23 is: 1,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.57 : 2,265.26 = 688.23 : x
  2. Step 2: Convert to fraction form
    1,509.57/2,265.26 = 688.23/x
  3. Step 3: Cross multiply
    1,509.57x = 2,265.26 × 688.23
  4. Step 4: Simplify right side
    1,509.57x = 1,559,016.45
  5. Step 5: Solve for x
    x = 1,559,016.45/1,509.57
  6. Step 6: Final answer
    x = 1,032.76

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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.