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Finding the Fourth Proportional to 1,389.79, 2,085.23 and 619.75

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Solution

The fourth proportional to 1,389.79, 2,085.23 and 619.75 is: 929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.79 : 2,085.23 = 619.75 : x
  2. Step 2: Convert to fraction form
    1,389.79/2,085.23 = 619.75/x
  3. Step 3: Cross multiply
    1,389.79x = 2,085.23 × 619.75
  4. Step 4: Simplify right side
    1,389.79x = 1,292,321.29
  5. Step 5: Solve for x
    x = 1,292,321.29/1,389.79
  6. Step 6: Final answer
    x = 929.87

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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.