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Finding the Fourth Proportional to 1,491.68, 2,058.47 and 828.51

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Solution

The fourth proportional to 1,491.68, 2,058.47 and 828.51 is: 1,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.68 : 2,058.47 = 828.51 : x
  2. Step 2: Convert to fraction form
    1,491.68/2,058.47 = 828.51/x
  3. Step 3: Cross multiply
    1,491.68x = 2,058.47 × 828.51
  4. Step 4: Simplify right side
    1,491.68x = 1,705,462.98
  5. Step 5: Solve for x
    x = 1,705,462.98/1,491.68
  6. Step 6: Final answer
    x = 1,143.32

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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.