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Finding the Fourth Proportional to 1,262.07, 1,892.55 and 521.16

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Solution

The fourth proportional to 1,262.07, 1,892.55 and 521.16 is: 781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.07 : 1,892.55 = 521.16 : x
  2. Step 2: Convert to fraction form
    1,262.07/1,892.55 = 521.16/x
  3. Step 3: Cross multiply
    1,262.07x = 1,892.55 × 521.16
  4. Step 4: Simplify right side
    1,262.07x = 986,321.36
  5. Step 5: Solve for x
    x = 986,321.36/1,262.07
  6. Step 6: Final answer
    x = 781.51

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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.