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Finding the Fourth Proportional to 1,137.90, 1,704.42 and 703.74

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Solution

The fourth proportional to 1,137.90, 1,704.42 and 703.74 is: 1,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.90 : 1,704.42 = 703.74 : x
  2. Step 2: Convert to fraction form
    1,137.90/1,704.42 = 703.74/x
  3. Step 3: Cross multiply
    1,137.90x = 1,704.42 × 703.74
  4. Step 4: Simplify right side
    1,137.90x = 1,199,468.53
  5. Step 5: Solve for x
    x = 1,199,468.53/1,137.90
  6. Step 6: Final answer
    x = 1,054.11

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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.