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Finding the Fourth Proportional to 1,083.61, 1,624.09 and 466.01

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Solution

The fourth proportional to 1,083.61, 1,624.09 and 466.01 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.61 : 1,624.09 = 466.01 : x
  2. Step 2: Convert to fraction form
    1,083.61/1,624.09 = 466.01/x
  3. Step 3: Cross multiply
    1,083.61x = 1,624.09 × 466.01
  4. Step 4: Simplify right side
    1,083.61x = 756,842.18
  5. Step 5: Solve for x
    x = 756,842.18/1,083.61
  6. Step 6: Final answer
    x = 698.45

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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.