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Finding the Fourth Proportional to 945.09, 1,304.64 and 646.47

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Solution

The fourth proportional to 945.09, 1,304.64 and 646.47 is: 892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.09 : 1,304.64 = 646.47 : x
  2. Step 2: Convert to fraction form
    945.09/1,304.64 = 646.47/x
  3. Step 3: Cross multiply
    945.09x = 1,304.64 × 646.47
  4. Step 4: Simplify right side
    945.09x = 843,410.62
  5. Step 5: Solve for x
    x = 843,410.62/945.09
  6. Step 6: Final answer
    x = 892.41

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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.