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Finding the Fourth Proportional to 845.13, 1,166.27 and 477.13

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Solution

The fourth proportional to 845.13, 1,166.27 and 477.13 is: 658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.13 : 1,166.27 = 477.13 : x
  2. Step 2: Convert to fraction form
    845.13/1,166.27 = 477.13/x
  3. Step 3: Cross multiply
    845.13x = 1,166.27 × 477.13
  4. Step 4: Simplify right side
    845.13x = 556,457.77
  5. Step 5: Solve for x
    x = 556,457.77/845.13
  6. Step 6: Final answer
    x = 658.43

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Double scale
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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.