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Finding the Fourth Proportional to 1,186.84, 1,637.56 and 689.18

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Solution

The fourth proportional to 1,186.84, 1,637.56 and 689.18 is: 950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.84 : 1,637.56 = 689.18 : x
  2. Step 2: Convert to fraction form
    1,186.84/1,637.56 = 689.18/x
  3. Step 3: Cross multiply
    1,186.84x = 1,637.56 × 689.18
  4. Step 4: Simplify right side
    1,186.84x = 1,128,573.60
  5. Step 5: Solve for x
    x = 1,128,573.60/1,186.84
  6. Step 6: Final answer
    x = 950.91

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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.