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Finding the Fourth Proportional to 1,003.46, 1,495.13 and 894.33

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Solution

The fourth proportional to 1,003.46, 1,495.13 and 894.33 is: 1,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.46 : 1,495.13 = 894.33 : x
  2. Step 2: Convert to fraction form
    1,003.46/1,495.13 = 894.33/x
  3. Step 3: Cross multiply
    1,003.46x = 1,495.13 × 894.33
  4. Step 4: Simplify right side
    1,003.46x = 1,337,135.14
  5. Step 5: Solve for x
    x = 1,337,135.14/1,003.46
  6. Step 6: Final answer
    x = 1,332.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.