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Finding the Fourth Proportional to 1,259.23, 1,737.64 and 699.63

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Solution

The fourth proportional to 1,259.23, 1,737.64 and 699.63 is: 965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.23 : 1,737.64 = 699.63 : x
  2. Step 2: Convert to fraction form
    1,259.23/1,737.64 = 699.63/x
  3. Step 3: Cross multiply
    1,259.23x = 1,737.64 × 699.63
  4. Step 4: Simplify right side
    1,259.23x = 1,215,701.58
  5. Step 5: Solve for x
    x = 1,215,701.58/1,259.23
  6. Step 6: Final answer
    x = 965.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.