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Finding the Fourth Proportional to 706.11, 973.89 and 618.63

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Solution

The fourth proportional to 706.11, 973.89 and 618.63 is: 853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.11 : 973.89 = 618.63 : x
  2. Step 2: Convert to fraction form
    706.11/973.89 = 618.63/x
  3. Step 3: Cross multiply
    706.11x = 973.89 × 618.63
  4. Step 4: Simplify right side
    706.11x = 602,476.68
  5. Step 5: Solve for x
    x = 602,476.68/706.11
  6. Step 6: Final answer
    x = 853.24

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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.