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Finding the Fourth Proportional to 1,137.95, 1,706.62 and 488.53

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Solution

The fourth proportional to 1,137.95, 1,706.62 and 488.53 is: 732.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.95 : 1,706.62 = 488.53 : x
  2. Step 2: Convert to fraction form
    1,137.95/1,706.62 = 488.53/x
  3. Step 3: Cross multiply
    1,137.95x = 1,706.62 × 488.53
  4. Step 4: Simplify right side
    1,137.95x = 833,736.90
  5. Step 5: Solve for x
    x = 833,736.90/1,137.95
  6. Step 6: Final answer
    x = 732.67

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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.