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Finding the Fourth Proportional to 754.35, 1,130.76 and 510.90

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Solution

The fourth proportional to 754.35, 1,130.76 and 510.90 is: 765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.35 : 1,130.76 = 510.90 : x
  2. Step 2: Convert to fraction form
    754.35/1,130.76 = 510.90/x
  3. Step 3: Cross multiply
    754.35x = 1,130.76 × 510.90
  4. Step 4: Simplify right side
    754.35x = 577,705.28
  5. Step 5: Solve for x
    x = 577,705.28/754.35
  6. Step 6: Final answer
    x = 765.83

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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.