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Finding the Fourth Proportional to 1,003.34, 1,377.24 and 890.35

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Solution

The fourth proportional to 1,003.34, 1,377.24 and 890.35 is: 1,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.34 : 1,377.24 = 890.35 : x
  2. Step 2: Convert to fraction form
    1,003.34/1,377.24 = 890.35/x
  3. Step 3: Cross multiply
    1,003.34x = 1,377.24 × 890.35
  4. Step 4: Simplify right side
    1,003.34x = 1,226,225.63
  5. Step 5: Solve for x
    x = 1,226,225.63/1,003.34
  6. Step 6: Final answer
    x = 1,222.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.