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Finding the Fourth Proportional to 1,325.03, 1,987.55 and 400.59

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Solution

The fourth proportional to 1,325.03, 1,987.55 and 400.59 is: 600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.03 : 1,987.55 = 400.59 : x
  2. Step 2: Convert to fraction form
    1,325.03/1,987.55 = 400.59/x
  3. Step 3: Cross multiply
    1,325.03x = 1,987.55 × 400.59
  4. Step 4: Simplify right side
    1,325.03x = 796,192.65
  5. Step 5: Solve for x
    x = 796,192.65/1,325.03
  6. Step 6: Final answer
    x = 600.89

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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.