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Finding the Fourth Proportional to 1,186.87, 1,637.60 and 689.21

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Solution

The fourth proportional to 1,186.87, 1,637.60 and 689.21 is: 950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.87 : 1,637.60 = 689.21 : x
  2. Step 2: Convert to fraction form
    1,186.87/1,637.60 = 689.21/x
  3. Step 3: Cross multiply
    1,186.87x = 1,637.60 × 689.21
  4. Step 4: Simplify right side
    1,186.87x = 1,128,647.71
  5. Step 5: Solve for x
    x = 1,128,647.71/1,186.87
  6. Step 6: Final answer
    x = 950.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.