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Finding the Fourth Proportional to 731.77, 1,009.84 and 400.19

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Solution

The fourth proportional to 731.77, 1,009.84 and 400.19 is: 552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.77 : 1,009.84 = 400.19 : x
  2. Step 2: Convert to fraction form
    731.77/1,009.84 = 400.19/x
  3. Step 3: Cross multiply
    731.77x = 1,009.84 × 400.19
  4. Step 4: Simplify right side
    731.77x = 404,127.87
  5. Step 5: Solve for x
    x = 404,127.87/731.77
  6. Step 6: Final answer
    x = 552.26

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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.