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Finding the Fourth Proportional to 1,073.54, 1,607.67 and 523.95

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Solution

The fourth proportional to 1,073.54, 1,607.67 and 523.95 is: 784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.54 : 1,607.67 = 523.95 : x
  2. Step 2: Convert to fraction form
    1,073.54/1,607.67 = 523.95/x
  3. Step 3: Cross multiply
    1,073.54x = 1,607.67 × 523.95
  4. Step 4: Simplify right side
    1,073.54x = 842,338.70
  5. Step 5: Solve for x
    x = 842,338.70/1,073.54
  6. Step 6: Final answer
    x = 784.64

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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.