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Finding the Fourth Proportional to 1,116.53, 1,674.79 and 466.80

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Solution

The fourth proportional to 1,116.53, 1,674.79 and 466.80 is: 700.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.53 : 1,674.79 = 466.80 : x
  2. Step 2: Convert to fraction form
    1,116.53/1,674.79 = 466.80/x
  3. Step 3: Cross multiply
    1,116.53x = 1,674.79 × 466.80
  4. Step 4: Simplify right side
    1,116.53x = 781,801.28
  5. Step 5: Solve for x
    x = 781,801.28/1,116.53
  6. Step 6: Final answer
    x = 700.21

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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.