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Finding the Fourth Proportional to 945.57, 1,304.69 and 552.51

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Solution

The fourth proportional to 945.57, 1,304.69 and 552.51 is: 762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.57 : 1,304.69 = 552.51 : x
  2. Step 2: Convert to fraction form
    945.57/1,304.69 = 552.51/x
  3. Step 3: Cross multiply
    945.57x = 1,304.69 × 552.51
  4. Step 4: Simplify right side
    945.57x = 720,857.53
  5. Step 5: Solve for x
    x = 720,857.53/945.57
  6. Step 6: Final answer
    x = 762.36

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Half scale
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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.