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Finding the Fourth Proportional to 1,754.89, 2,632.34 and 522.32

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Solution

The fourth proportional to 1,754.89, 2,632.34 and 522.32 is: 783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.89 : 2,632.34 = 522.32 : x
  2. Step 2: Convert to fraction form
    1,754.89/2,632.34 = 522.32/x
  3. Step 3: Cross multiply
    1,754.89x = 2,632.34 × 522.32
  4. Step 4: Simplify right side
    1,754.89x = 1,374,923.18
  5. Step 5: Solve for x
    x = 1,374,923.18/1,754.89
  6. Step 6: Final answer
    x = 783.48

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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.