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Finding the Fourth Proportional to 854.04, 1,178.64 and 481.08

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Solution

The fourth proportional to 854.04, 1,178.64 and 481.08 is: 663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.04 : 1,178.64 = 481.08 : x
  2. Step 2: Convert to fraction form
    854.04/1,178.64 = 481.08/x
  3. Step 3: Cross multiply
    854.04x = 1,178.64 × 481.08
  4. Step 4: Simplify right side
    854.04x = 567,020.13
  5. Step 5: Solve for x
    x = 567,020.13/854.04
  6. Step 6: Final answer
    x = 663.93

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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.