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Finding the Fourth Proportional to 727.85, 1,004.70 and 466.63

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Solution

The fourth proportional to 727.85, 1,004.70 and 466.63 is: 644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.85 : 1,004.70 = 466.63 : x
  2. Step 2: Convert to fraction form
    727.85/1,004.70 = 466.63/x
  3. Step 3: Cross multiply
    727.85x = 1,004.70 × 466.63
  4. Step 4: Simplify right side
    727.85x = 468,822.40
  5. Step 5: Solve for x
    x = 468,822.40/727.85
  6. Step 6: Final answer
    x = 644.12

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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.