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Finding the Fourth Proportional to 1,138.72, 1,706.64 and 488.68

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Solution

The fourth proportional to 1,138.72, 1,706.64 and 488.68 is: 732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.72 : 1,706.64 = 488.68 : x
  2. Step 2: Convert to fraction form
    1,138.72/1,706.64 = 488.68/x
  3. Step 3: Cross multiply
    1,138.72x = 1,706.64 × 488.68
  4. Step 4: Simplify right side
    1,138.72x = 834,000.84
  5. Step 5: Solve for x
    x = 834,000.84/1,138.72
  6. Step 6: Final answer
    x = 732.40

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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.