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Finding the Fourth Proportional to 1,558.95, 2,151.47 and 896.03

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Solution

The fourth proportional to 1,558.95, 2,151.47 and 896.03 is: 1,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.95 : 2,151.47 = 896.03 : x
  2. Step 2: Convert to fraction form
    1,558.95/2,151.47 = 896.03/x
  3. Step 3: Cross multiply
    1,558.95x = 2,151.47 × 896.03
  4. Step 4: Simplify right side
    1,558.95x = 1,927,789.28
  5. Step 5: Solve for x
    x = 1,927,789.28/1,558.95
  6. Step 6: Final answer
    x = 1,236.59

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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.