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Finding the Fourth Proportional to 1,491.67, 2,058.54 and 819.50

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Solution

The fourth proportional to 1,491.67, 2,058.54 and 819.50 is: 1,130.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.67 : 2,058.54 = 819.50 : x
  2. Step 2: Convert to fraction form
    1,491.67/2,058.54 = 819.50/x
  3. Step 3: Cross multiply
    1,491.67x = 2,058.54 × 819.50
  4. Step 4: Simplify right side
    1,491.67x = 1,686,973.53
  5. Step 5: Solve for x
    x = 1,686,973.53/1,491.67
  6. Step 6: Final answer
    x = 1,130.93

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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.