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Finding the Fourth Proportional to 1,389.99, 2,085.18 and 415.98

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Solution

The fourth proportional to 1,389.99, 2,085.18 and 415.98 is: 624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.99 : 2,085.18 = 415.98 : x
  2. Step 2: Convert to fraction form
    1,389.99/2,085.18 = 415.98/x
  3. Step 3: Cross multiply
    1,389.99x = 2,085.18 × 415.98
  4. Step 4: Simplify right side
    1,389.99x = 867,393.18
  5. Step 5: Solve for x
    x = 867,393.18/1,389.99
  6. Step 6: Final answer
    x = 624.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.