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Finding the Fourth Proportional to 845.12, 1,166.16 and 534.56

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Solution

The fourth proportional to 845.12, 1,166.16 and 534.56 is: 737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.12 : 1,166.16 = 534.56 : x
  2. Step 2: Convert to fraction form
    845.12/1,166.16 = 534.56/x
  3. Step 3: Cross multiply
    845.12x = 1,166.16 × 534.56
  4. Step 4: Simplify right side
    845.12x = 623,382.49
  5. Step 5: Solve for x
    x = 623,382.49/845.12
  6. Step 6: Final answer
    x = 737.63

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1.5x scale

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.