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Finding the Fourth Proportional to 1,254.07, 1,880.77 and 523.52

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Solution

The fourth proportional to 1,254.07, 1,880.77 and 523.52 is: 785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.07 : 1,880.77 = 523.52 : x
  2. Step 2: Convert to fraction form
    1,254.07/1,880.77 = 523.52/x
  3. Step 3: Cross multiply
    1,254.07x = 1,880.77 × 523.52
  4. Step 4: Simplify right side
    1,254.07x = 984,620.71
  5. Step 5: Solve for x
    x = 984,620.71/1,254.07
  6. Step 6: Final answer
    x = 785.14

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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.