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Finding the Fourth Proportional to 1,491.64, 2,058.47 and 828.50

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Solution

The fourth proportional to 1,491.64, 2,058.47 and 828.50 is: 1,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.64 : 2,058.47 = 828.50 : x
  2. Step 2: Convert to fraction form
    1,491.64/2,058.47 = 828.50/x
  3. Step 3: Cross multiply
    1,491.64x = 2,058.47 × 828.50
  4. Step 4: Simplify right side
    1,491.64x = 1,705,433.11
  5. Step 5: Solve for x
    x = 1,705,433.11/1,491.64
  6. Step 6: Final answer
    x = 1,143.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.