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Finding the Fourth Proportional to 731.64, 1,009.14 and 556.68

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Solution

The fourth proportional to 731.64, 1,009.14 and 556.68 is: 767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.64 : 1,009.14 = 556.68 : x
  2. Step 2: Convert to fraction form
    731.64/1,009.14 = 556.68/x
  3. Step 3: Cross multiply
    731.64x = 1,009.14 × 556.68
  4. Step 4: Simplify right side
    731.64x = 561,768.06
  5. Step 5: Solve for x
    x = 561,768.06/731.64
  6. Step 6: Final answer
    x = 767.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.