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Finding the Fourth Proportional to 1,630.51, 2,443.83 and 589.97

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Solution

The fourth proportional to 1,630.51, 2,443.83 and 589.97 is: 884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.51 : 2,443.83 = 589.97 : x
  2. Step 2: Convert to fraction form
    1,630.51/2,443.83 = 589.97/x
  3. Step 3: Cross multiply
    1,630.51x = 2,443.83 × 589.97
  4. Step 4: Simplify right side
    1,630.51x = 1,441,774.17
  5. Step 5: Solve for x
    x = 1,441,774.17/1,630.51
  6. Step 6: Final answer
    x = 884.25

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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.