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Finding the Fourth Proportional to 823.85, 1,137.03 and 469.77

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Solution

The fourth proportional to 823.85, 1,137.03 and 469.77 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.85 : 1,137.03 = 469.77 : x
  2. Step 2: Convert to fraction form
    823.85/1,137.03 = 469.77/x
  3. Step 3: Cross multiply
    823.85x = 1,137.03 × 469.77
  4. Step 4: Simplify right side
    823.85x = 534,139.49
  5. Step 5: Solve for x
    x = 534,139.49/823.85
  6. Step 6: Final answer
    x = 648.35

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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.