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Finding the Fourth Proportional to 1,083.49, 1,624.75 and 466.81

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Solution

The fourth proportional to 1,083.49, 1,624.75 and 466.81 is: 700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.49 : 1,624.75 = 466.81 : x
  2. Step 2: Convert to fraction form
    1,083.49/1,624.75 = 466.81/x
  3. Step 3: Cross multiply
    1,083.49x = 1,624.75 × 466.81
  4. Step 4: Simplify right side
    1,083.49x = 758,449.55
  5. Step 5: Solve for x
    x = 758,449.55/1,083.49
  6. Step 6: Final answer
    x = 700.01

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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.