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Finding the Fourth Proportional to 1,186.58, 1,637.42 and 689.18

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Solution

The fourth proportional to 1,186.58, 1,637.42 and 689.18 is: 951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.58 : 1,637.42 = 689.18 : x
  2. Step 2: Convert to fraction form
    1,186.58/1,637.42 = 689.18/x
  3. Step 3: Cross multiply
    1,186.58x = 1,637.42 × 689.18
  4. Step 4: Simplify right side
    1,186.58x = 1,128,477.12
  5. Step 5: Solve for x
    x = 1,128,477.12/1,186.58
  6. Step 6: Final answer
    x = 951.03

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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.