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Finding the Fourth Proportional to 706.70, 973.40 and 596.10

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Solution

The fourth proportional to 706.70, 973.40 and 596.10 is: 821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.70 : 973.40 = 596.10 : x
  2. Step 2: Convert to fraction form
    706.70/973.40 = 596.10/x
  3. Step 3: Cross multiply
    706.70x = 973.40 × 596.10
  4. Step 4: Simplify right side
    706.70x = 580,243.74
  5. Step 5: Solve for x
    x = 580,243.74/706.70
  6. Step 6: Final answer
    x = 821.06

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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.