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Finding the Fourth Proportional to 894.30, 1,341.45 and 461.58

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Solution

The fourth proportional to 894.30, 1,341.45 and 461.58 is: 692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.30 : 1,341.45 = 461.58 : x
  2. Step 2: Convert to fraction form
    894.30/1,341.45 = 461.58/x
  3. Step 3: Cross multiply
    894.30x = 1,341.45 × 461.58
  4. Step 4: Simplify right side
    894.30x = 619,186.49
  5. Step 5: Solve for x
    x = 619,186.49/894.30
  6. Step 6: Final answer
    x = 692.37

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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.