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Finding the Fourth Proportional to 1,357.99, 2,036.97 and 384.09

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Solution

The fourth proportional to 1,357.99, 2,036.97 and 384.09 is: 576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.99 : 2,036.97 = 384.09 : x
  2. Step 2: Convert to fraction form
    1,357.99/2,036.97 = 384.09/x
  3. Step 3: Cross multiply
    1,357.99x = 2,036.97 × 384.09
  4. Step 4: Simplify right side
    1,357.99x = 782,379.81
  5. Step 5: Solve for x
    x = 782,379.81/1,357.99
  6. Step 6: Final answer
    x = 576.13

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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.