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Finding the Fourth Proportional to 1,184.90, 1,777.71 and 491.85

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Solution

The fourth proportional to 1,184.90, 1,777.71 and 491.85 is: 737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.90 : 1,777.71 = 491.85 : x
  2. Step 2: Convert to fraction form
    1,184.90/1,777.71 = 491.85/x
  3. Step 3: Cross multiply
    1,184.90x = 1,777.71 × 491.85
  4. Step 4: Simplify right side
    1,184.90x = 874,366.66
  5. Step 5: Solve for x
    x = 874,366.66/1,184.90
  6. Step 6: Final answer
    x = 737.92

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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.