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Finding the Fourth Proportional to 845.76, 1,167.14 and 477.76

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Solution

The fourth proportional to 845.76, 1,167.14 and 477.76 is: 659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.76 : 1,167.14 = 477.76 : x
  2. Step 2: Convert to fraction form
    845.76/1,167.14 = 477.76/x
  3. Step 3: Cross multiply
    845.76x = 1,167.14 × 477.76
  4. Step 4: Simplify right side
    845.76x = 557,612.81
  5. Step 5: Solve for x
    x = 557,612.81/845.76
  6. Step 6: Final answer
    x = 659.30

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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.