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Finding the Fourth Proportional to 1,520.54, 2,281.41 and 750.50

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Solution

The fourth proportional to 1,520.54, 2,281.41 and 750.50 is: 1,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.54 : 2,281.41 = 750.50 : x
  2. Step 2: Convert to fraction form
    1,520.54/2,281.41 = 750.50/x
  3. Step 3: Cross multiply
    1,520.54x = 2,281.41 × 750.50
  4. Step 4: Simplify right side
    1,520.54x = 1,712,198.21
  5. Step 5: Solve for x
    x = 1,712,198.21/1,520.54
  6. Step 6: Final answer
    x = 1,126.05

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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.