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Finding the Fourth Proportional to 845.32, 1,166.54 and 472.30

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Solution

The fourth proportional to 845.32, 1,166.54 and 472.30 is: 651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.32 : 1,166.54 = 472.30 : x
  2. Step 2: Convert to fraction form
    845.32/1,166.54 = 472.30/x
  3. Step 3: Cross multiply
    845.32x = 1,166.54 × 472.30
  4. Step 4: Simplify right side
    845.32x = 550,954.48
  5. Step 5: Solve for x
    x = 550,954.48/845.32
  6. Step 6: Final answer
    x = 651.77

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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.