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Finding the Fourth Proportional to 734.10, 1,012.50 and 512.82

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Solution

The fourth proportional to 734.10, 1,012.50 and 512.82 is: 707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.10 : 1,012.50 = 512.82 : x
  2. Step 2: Convert to fraction form
    734.10/1,012.50 = 512.82/x
  3. Step 3: Cross multiply
    734.10x = 1,012.50 × 512.82
  4. Step 4: Simplify right side
    734.10x = 519,230.25
  5. Step 5: Solve for x
    x = 519,230.25/734.10
  6. Step 6: Final answer
    x = 707.30

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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.