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Finding the Fourth Proportional to 1,138.15, 1,706.27 and 357.66

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Solution

The fourth proportional to 1,138.15, 1,706.27 and 357.66 is: 536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.15 : 1,706.27 = 357.66 : x
  2. Step 2: Convert to fraction form
    1,138.15/1,706.27 = 357.66/x
  3. Step 3: Cross multiply
    1,138.15x = 1,706.27 × 357.66
  4. Step 4: Simplify right side
    1,138.15x = 610,264.53
  5. Step 5: Solve for x
    x = 610,264.53/1,138.15
  6. Step 6: Final answer
    x = 536.19

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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.