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Finding the Fourth Proportional to 728.66, 1,093.55 and 420.77

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Solution

The fourth proportional to 728.66, 1,093.55 and 420.77 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.66 : 1,093.55 = 420.77 : x
  2. Step 2: Convert to fraction form
    728.66/1,093.55 = 420.77/x
  3. Step 3: Cross multiply
    728.66x = 1,093.55 × 420.77
  4. Step 4: Simplify right side
    728.66x = 460,125.46
  5. Step 5: Solve for x
    x = 460,125.46/728.66
  6. Step 6: Final answer
    x = 631.47

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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.