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Finding the Fourth Proportional to 698.51, 964.31 and 556.45

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Solution

The fourth proportional to 698.51, 964.31 and 556.45 is: 768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.51 : 964.31 = 556.45 : x
  2. Step 2: Convert to fraction form
    698.51/964.31 = 556.45/x
  3. Step 3: Cross multiply
    698.51x = 964.31 × 556.45
  4. Step 4: Simplify right side
    698.51x = 536,585.11
  5. Step 5: Solve for x
    x = 536,585.11/698.51
  6. Step 6: Final answer
    x = 768.18

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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.