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Finding the Fourth Proportional to 713.51, 1,069.32 and 366.54

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Solution

The fourth proportional to 713.51, 1,069.32 and 366.54 is: 549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.51 : 1,069.32 = 366.54 : x
  2. Step 2: Convert to fraction form
    713.51/1,069.32 = 366.54/x
  3. Step 3: Cross multiply
    713.51x = 1,069.32 × 366.54
  4. Step 4: Simplify right side
    713.51x = 391,948.55
  5. Step 5: Solve for x
    x = 391,948.55/713.51
  6. Step 6: Final answer
    x = 549.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.