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Finding the Fourth Proportional to 1,420.29, 2,127.06 and 687.51

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Solution

The fourth proportional to 1,420.29, 2,127.06 and 687.51 is: 1,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.29 : 2,127.06 = 687.51 : x
  2. Step 2: Convert to fraction form
    1,420.29/2,127.06 = 687.51/x
  3. Step 3: Cross multiply
    1,420.29x = 2,127.06 × 687.51
  4. Step 4: Simplify right side
    1,420.29x = 1,462,375.02
  5. Step 5: Solve for x
    x = 1,462,375.02/1,420.29
  6. Step 6: Final answer
    x = 1,029.63

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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.