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Finding the Fourth Proportional to 1,145.88, 1,717.98 and 735.48

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Solution

The fourth proportional to 1,145.88, 1,717.98 and 735.48 is: 1,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.88 : 1,717.98 = 735.48 : x
  2. Step 2: Convert to fraction form
    1,145.88/1,717.98 = 735.48/x
  3. Step 3: Cross multiply
    1,145.88x = 1,717.98 × 735.48
  4. Step 4: Simplify right side
    1,145.88x = 1,263,539.93
  5. Step 5: Solve for x
    x = 1,263,539.93/1,145.88
  6. Step 6: Final answer
    x = 1,102.68

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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.