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Finding the Fourth Proportional to 1,004.37, 1,506.69 and 593.52

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Solution

The fourth proportional to 1,004.37, 1,506.69 and 593.52 is: 890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.37 : 1,506.69 = 593.52 : x
  2. Step 2: Convert to fraction form
    1,004.37/1,506.69 = 593.52/x
  3. Step 3: Cross multiply
    1,004.37x = 1,506.69 × 593.52
  4. Step 4: Simplify right side
    1,004.37x = 894,250.65
  5. Step 5: Solve for x
    x = 894,250.65/1,004.37
  6. Step 6: Final answer
    x = 890.36

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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.