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Finding the Fourth Proportional to 1,259.40, 1,737.78 and 735.42

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Solution

The fourth proportional to 1,259.40, 1,737.78 and 735.42 is: 1,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.40 : 1,737.78 = 735.42 : x
  2. Step 2: Convert to fraction form
    1,259.40/1,737.78 = 735.42/x
  3. Step 3: Cross multiply
    1,259.40x = 1,737.78 × 735.42
  4. Step 4: Simplify right side
    1,259.40x = 1,277,998.17
  5. Step 5: Solve for x
    x = 1,277,998.17/1,259.40
  6. Step 6: Final answer
    x = 1,014.77

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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.