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Finding the Fourth Proportional to 1,675.06, 2,512.47 and 520.78

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Solution

The fourth proportional to 1,675.06, 2,512.47 and 520.78 is: 781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.06 : 2,512.47 = 520.78 : x
  2. Step 2: Convert to fraction form
    1,675.06/2,512.47 = 520.78/x
  3. Step 3: Cross multiply
    1,675.06x = 2,512.47 × 520.78
  4. Step 4: Simplify right side
    1,675.06x = 1,308,444.13
  5. Step 5: Solve for x
    x = 1,308,444.13/1,675.06
  6. Step 6: Final answer
    x = 781.13

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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.