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Finding the Fourth Proportional to 672.90, 1,010.21 and 518.93

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Solution

The fourth proportional to 672.90, 1,010.21 and 518.93 is: 779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.90 : 1,010.21 = 518.93 : x
  2. Step 2: Convert to fraction form
    672.90/1,010.21 = 518.93/x
  3. Step 3: Cross multiply
    672.90x = 1,010.21 × 518.93
  4. Step 4: Simplify right side
    672.90x = 524,220.63
  5. Step 5: Solve for x
    x = 524,220.63/672.90
  6. Step 6: Final answer
    x = 779.05

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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.