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Finding the Fourth Proportional to 757.86, 1,045.89 and 421.77

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Solution

The fourth proportional to 757.86, 1,045.89 and 421.77 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.86 : 1,045.89 = 421.77 : x
  2. Step 2: Convert to fraction form
    757.86/1,045.89 = 421.77/x
  3. Step 3: Cross multiply
    757.86x = 1,045.89 × 421.77
  4. Step 4: Simplify right side
    757.86x = 441,125.03
  5. Step 5: Solve for x
    x = 441,125.03/757.86
  6. Step 6: Final answer
    x = 582.07

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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.