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Finding the Fourth Proportional to 845.34, 1,166.10 and 513.84

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Solution

The fourth proportional to 845.34, 1,166.10 and 513.84 is: 708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.34 : 1,166.10 = 513.84 : x
  2. Step 2: Convert to fraction form
    845.34/1,166.10 = 513.84/x
  3. Step 3: Cross multiply
    845.34x = 1,166.10 × 513.84
  4. Step 4: Simplify right side
    845.34x = 599,188.82
  5. Step 5: Solve for x
    x = 599,188.82/845.34
  6. Step 6: Final answer
    x = 708.81

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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.