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Finding the Fourth Proportional to 1,186.82, 1,637.46 and 714.65

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Solution

The fourth proportional to 1,186.82, 1,637.46 and 714.65 is: 986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.82 : 1,637.46 = 714.65 : x
  2. Step 2: Convert to fraction form
    1,186.82/1,637.46 = 714.65/x
  3. Step 3: Cross multiply
    1,186.82x = 1,637.46 × 714.65
  4. Step 4: Simplify right side
    1,186.82x = 1,170,210.79
  5. Step 5: Solve for x
    x = 1,170,210.79/1,186.82
  6. Step 6: Final answer
    x = 986.01

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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.