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Finding the Fourth Proportional to 1,200.66, 1,801.69 and 507.29

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Solution

The fourth proportional to 1,200.66, 1,801.69 and 507.29 is: 761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.66 : 1,801.69 = 507.29 : x
  2. Step 2: Convert to fraction form
    1,200.66/1,801.69 = 507.29/x
  3. Step 3: Cross multiply
    1,200.66x = 1,801.69 × 507.29
  4. Step 4: Simplify right side
    1,200.66x = 913,976.96
  5. Step 5: Solve for x
    x = 913,976.96/1,200.66
  6. Step 6: Final answer
    x = 761.23

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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.