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Finding the Fourth Proportional to 691.26, 954.00 and 411.51

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Solution

The fourth proportional to 691.26, 954.00 and 411.51 is: 567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.26 : 954.00 = 411.51 : x
  2. Step 2: Convert to fraction form
    691.26/954.00 = 411.51/x
  3. Step 3: Cross multiply
    691.26x = 954.00 × 411.51
  4. Step 4: Simplify right side
    691.26x = 392,577.23
  5. Step 5: Solve for x
    x = 392,577.23/691.26
  6. Step 6: Final answer
    x = 567.92

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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.