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Finding the Fourth Proportional to 845.46, 1,166.76 and 496.13

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Solution

The fourth proportional to 845.46, 1,166.76 and 496.13 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.46 : 1,166.76 = 496.13 : x
  2. Step 2: Convert to fraction form
    845.46/1,166.76 = 496.13/x
  3. Step 3: Cross multiply
    845.46x = 1,166.76 × 496.13
  4. Step 4: Simplify right side
    845.46x = 578,858.81
  5. Step 5: Solve for x
    x = 578,858.81/845.46
  6. Step 6: Final answer
    x = 684.67

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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.