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Finding the Fourth Proportional to 1,033.26, 1,558.07 and 1,013.82

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Solution

The fourth proportional to 1,033.26, 1,558.07 and 1,013.82 is: 1,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.26 : 1,558.07 = 1,013.82 : x
  2. Step 2: Convert to fraction form
    1,033.26/1,558.07 = 1,013.82/x
  3. Step 3: Cross multiply
    1,033.26x = 1,558.07 × 1,013.82
  4. Step 4: Simplify right side
    1,033.26x = 1,579,602.53
  5. Step 5: Solve for x
    x = 1,579,602.53/1,033.26
  6. Step 6: Final answer
    x = 1,528.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.