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Finding the Fourth Proportional to 1,119.65, 1,678.91 and 389.03

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Solution

The fourth proportional to 1,119.65, 1,678.91 and 389.03 is: 583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.65 : 1,678.91 = 389.03 : x
  2. Step 2: Convert to fraction form
    1,119.65/1,678.91 = 389.03/x
  3. Step 3: Cross multiply
    1,119.65x = 1,678.91 × 389.03
  4. Step 4: Simplify right side
    1,119.65x = 653,136.02
  5. Step 5: Solve for x
    x = 653,136.02/1,119.65
  6. Step 6: Final answer
    x = 583.34

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Why These Related Problems?

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