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Finding the Fourth Proportional to 947.51, 1,307.61 and 522.16

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Solution

The fourth proportional to 947.51, 1,307.61 and 522.16 is: 720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.51 : 1,307.61 = 522.16 : x
  2. Step 2: Convert to fraction form
    947.51/1,307.61 = 522.16/x
  3. Step 3: Cross multiply
    947.51x = 1,307.61 × 522.16
  4. Step 4: Simplify right side
    947.51x = 682,785.72
  5. Step 5: Solve for x
    x = 682,785.72/947.51
  6. Step 6: Final answer
    x = 720.61

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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.