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Finding the Fourth Proportional to 675.72, 1,011.96 and 512.10

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Solution

The fourth proportional to 675.72, 1,011.96 and 512.10 is: 766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.72 : 1,011.96 = 512.10 : x
  2. Step 2: Convert to fraction form
    675.72/1,011.96 = 512.10/x
  3. Step 3: Cross multiply
    675.72x = 1,011.96 × 512.10
  4. Step 4: Simplify right side
    675.72x = 518,224.72
  5. Step 5: Solve for x
    x = 518,224.72/675.72
  6. Step 6: Final answer
    x = 766.92

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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.