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Finding the Fourth Proportional to 678.41, 1,012.70 and 596.40

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Solution

The fourth proportional to 678.41, 1,012.70 and 596.40 is: 890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.41 : 1,012.70 = 596.40 : x
  2. Step 2: Convert to fraction form
    678.41/1,012.70 = 596.40/x
  3. Step 3: Cross multiply
    678.41x = 1,012.70 × 596.40
  4. Step 4: Simplify right side
    678.41x = 603,971.30
  5. Step 5: Solve for x
    x = 603,971.30/678.41
  6. Step 6: Final answer
    x = 890.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.