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Finding the Fourth Proportional to 1,328.28, 1,993.03 and 506.74

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Solution

The fourth proportional to 1,328.28, 1,993.03 and 506.74 is: 760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.28 : 1,993.03 = 506.74 : x
  2. Step 2: Convert to fraction form
    1,328.28/1,993.03 = 506.74/x
  3. Step 3: Cross multiply
    1,328.28x = 1,993.03 × 506.74
  4. Step 4: Simplify right side
    1,328.28x = 1,009,941.77
  5. Step 5: Solve for x
    x = 1,009,941.77/1,328.28
  6. Step 6: Final answer
    x = 760.34

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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.