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Finding the Fourth Proportional to 734.66, 1,013.81 and 403.08

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Solution

The fourth proportional to 734.66, 1,013.81 and 403.08 is: 556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.66 : 1,013.81 = 403.08 : x
  2. Step 2: Convert to fraction form
    734.66/1,013.81 = 403.08/x
  3. Step 3: Cross multiply
    734.66x = 1,013.81 × 403.08
  4. Step 4: Simplify right side
    734.66x = 408,646.53
  5. Step 5: Solve for x
    x = 408,646.53/734.66
  6. Step 6: Final answer
    x = 556.24

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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.