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Finding the Fourth Proportional to 906.42, 1,357.98 and 581.16

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Solution

The fourth proportional to 906.42, 1,357.98 and 581.16 is: 870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.42 : 1,357.98 = 581.16 : x
  2. Step 2: Convert to fraction form
    906.42/1,357.98 = 581.16/x
  3. Step 3: Cross multiply
    906.42x = 1,357.98 × 581.16
  4. Step 4: Simplify right side
    906.42x = 789,203.66
  5. Step 5: Solve for x
    x = 789,203.66/906.42
  6. Step 6: Final answer
    x = 870.68

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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.