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Finding the Fourth Proportional to 734.26, 1,013.90 and 525.08

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Solution

The fourth proportional to 734.26, 1,013.90 and 525.08 is: 725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.26 : 1,013.90 = 525.08 : x
  2. Step 2: Convert to fraction form
    734.26/1,013.90 = 525.08/x
  3. Step 3: Cross multiply
    734.26x = 1,013.90 × 525.08
  4. Step 4: Simplify right side
    734.26x = 532,378.61
  5. Step 5: Solve for x
    x = 532,378.61/734.26
  6. Step 6: Final answer
    x = 725.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.