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Finding the Fourth Proportional to 1,418.15, 2,124.47 and 688.23

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Solution

The fourth proportional to 1,418.15, 2,124.47 and 688.23 is: 1,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.15 : 2,124.47 = 688.23 : x
  2. Step 2: Convert to fraction form
    1,418.15/2,124.47 = 688.23/x
  3. Step 3: Cross multiply
    1,418.15x = 2,124.47 × 688.23
  4. Step 4: Simplify right side
    1,418.15x = 1,462,120.55
  5. Step 5: Solve for x
    x = 1,462,120.55/1,418.15
  6. Step 6: Final answer
    x = 1,031.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.