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Finding the Fourth Proportional to 845.60, 1,166.24 and 596.48

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Solution

The fourth proportional to 845.60, 1,166.24 and 596.48 is: 822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.60 : 1,166.24 = 596.48 : x
  2. Step 2: Convert to fraction form
    845.60/1,166.24 = 596.48/x
  3. Step 3: Cross multiply
    845.60x = 1,166.24 × 596.48
  4. Step 4: Simplify right side
    845.60x = 695,638.84
  5. Step 5: Solve for x
    x = 695,638.84/845.60
  6. Step 6: Final answer
    x = 822.66

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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.