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Finding the Fourth Proportional to 817.51, 1,128.51 and 522.71

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Solution

The fourth proportional to 817.51, 1,128.51 and 522.71 is: 721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.51 : 1,128.51 = 522.71 : x
  2. Step 2: Convert to fraction form
    817.51/1,128.51 = 522.71/x
  3. Step 3: Cross multiply
    817.51x = 1,128.51 × 522.71
  4. Step 4: Simplify right side
    817.51x = 589,883.46
  5. Step 5: Solve for x
    x = 589,883.46/817.51
  6. Step 6: Final answer
    x = 721.56

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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.