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Finding the Fourth Proportional to 1,004.49, 1,509.57 and 593.82

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Solution

The fourth proportional to 1,004.49, 1,509.57 and 593.82 is: 892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.49 : 1,509.57 = 593.82 : x
  2. Step 2: Convert to fraction form
    1,004.49/1,509.57 = 593.82/x
  3. Step 3: Cross multiply
    1,004.49x = 1,509.57 × 593.82
  4. Step 4: Simplify right side
    1,004.49x = 896,412.86
  5. Step 5: Solve for x
    x = 896,412.86/1,004.49
  6. Step 6: Final answer
    x = 892.41

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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.