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Finding the Fourth Proportional to 1,185.84, 1,776.93 and 698.35

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Solution

The fourth proportional to 1,185.84, 1,776.93 and 698.35 is: 1,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.84 : 1,776.93 = 698.35 : x
  2. Step 2: Convert to fraction form
    1,185.84/1,776.93 = 698.35/x
  3. Step 3: Cross multiply
    1,185.84x = 1,776.93 × 698.35
  4. Step 4: Simplify right side
    1,185.84x = 1,240,919.07
  5. Step 5: Solve for x
    x = 1,240,919.07/1,185.84
  6. Step 6: Final answer
    x = 1,046.45

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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.