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Finding the Fourth Proportional to 756.88, 1,044.54 and 420.83

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Solution

The fourth proportional to 756.88, 1,044.54 and 420.83 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.88 : 1,044.54 = 420.83 : x
  2. Step 2: Convert to fraction form
    756.88/1,044.54 = 420.83/x
  3. Step 3: Cross multiply
    756.88x = 1,044.54 × 420.83
  4. Step 4: Simplify right side
    756.88x = 439,573.77
  5. Step 5: Solve for x
    x = 439,573.77/756.88
  6. Step 6: Final answer
    x = 580.77

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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.