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Finding the Fourth Proportional to 1,033.84, 1,541.78 and 976.36

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Solution

The fourth proportional to 1,033.84, 1,541.78 and 976.36 is: 1,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.84 : 1,541.78 = 976.36 : x
  2. Step 2: Convert to fraction form
    1,033.84/1,541.78 = 976.36/x
  3. Step 3: Cross multiply
    1,033.84x = 1,541.78 × 976.36
  4. Step 4: Simplify right side
    1,033.84x = 1,505,332.32
  5. Step 5: Solve for x
    x = 1,505,332.32/1,033.84
  6. Step 6: Final answer
    x = 1,456.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.