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Finding the Fourth Proportional to 741.74, 1,106.06 and 639.68

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Solution

The fourth proportional to 741.74, 1,106.06 and 639.68 is: 953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.74 : 1,106.06 = 639.68 : x
  2. Step 2: Convert to fraction form
    741.74/1,106.06 = 639.68/x
  3. Step 3: Cross multiply
    741.74x = 1,106.06 × 639.68
  4. Step 4: Simplify right side
    741.74x = 707,524.46
  5. Step 5: Solve for x
    x = 707,524.46/741.74
  6. Step 6: Final answer
    x = 953.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.