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Finding the Fourth Proportional to 703.47, 1,056.11 and 512.31

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Solution

The fourth proportional to 703.47, 1,056.11 and 512.31 is: 769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.47 : 1,056.11 = 512.31 : x
  2. Step 2: Convert to fraction form
    703.47/1,056.11 = 512.31/x
  3. Step 3: Cross multiply
    703.47x = 1,056.11 × 512.31
  4. Step 4: Simplify right side
    703.47x = 541,053.15
  5. Step 5: Solve for x
    x = 541,053.15/703.47
  6. Step 6: Final answer
    x = 769.12

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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.