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Finding the Fourth Proportional to 1,054.36, 1,580.64 and 405.56

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Solution

The fourth proportional to 1,054.36, 1,580.64 and 405.56 is: 607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.36 : 1,580.64 = 405.56 : x
  2. Step 2: Convert to fraction form
    1,054.36/1,580.64 = 405.56/x
  3. Step 3: Cross multiply
    1,054.36x = 1,580.64 × 405.56
  4. Step 4: Simplify right side
    1,054.36x = 641,044.36
  5. Step 5: Solve for x
    x = 641,044.36/1,054.36
  6. Step 6: Final answer
    x = 607.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.