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Finding the Fourth Proportional to 844.16, 1,164.64 and 476.16

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Solution

The fourth proportional to 844.16, 1,164.64 and 476.16 is: 656.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.16 : 1,164.64 = 476.16 : x
  2. Step 2: Convert to fraction form
    844.16/1,164.64 = 476.16/x
  3. Step 3: Cross multiply
    844.16x = 1,164.64 × 476.16
  4. Step 4: Simplify right side
    844.16x = 554,554.98
  5. Step 5: Solve for x
    x = 554,554.98/844.16
  6. Step 6: Final answer
    x = 656.93

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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.