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Finding the Fourth Proportional to 1,137.93, 1,706.85 and 316.14

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Solution

The fourth proportional to 1,137.93, 1,706.85 and 316.14 is: 474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.93 : 1,706.85 = 316.14 : x
  2. Step 2: Convert to fraction form
    1,137.93/1,706.85 = 316.14/x
  3. Step 3: Cross multiply
    1,137.93x = 1,706.85 × 316.14
  4. Step 4: Simplify right side
    1,137.93x = 539,603.56
  5. Step 5: Solve for x
    x = 539,603.56/1,137.93
  6. Step 6: Final answer
    x = 474.20

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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.