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Finding the Fourth Proportional to 1,137.08, 1,704.20 and 487.06

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Solution

The fourth proportional to 1,137.08, 1,704.20 and 487.06 is: 729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.08 : 1,704.20 = 487.06 : x
  2. Step 2: Convert to fraction form
    1,137.08/1,704.20 = 487.06/x
  3. Step 3: Cross multiply
    1,137.08x = 1,704.20 × 487.06
  4. Step 4: Simplify right side
    1,137.08x = 830,047.65
  5. Step 5: Solve for x
    x = 830,047.65/1,137.08
  6. Step 6: Final answer
    x = 729.98

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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.