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Finding the Fourth Proportional to 906.14, 1,357.26 and 612.03

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Solution

The fourth proportional to 906.14, 1,357.26 and 612.03 is: 916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.14 : 1,357.26 = 612.03 : x
  2. Step 2: Convert to fraction form
    906.14/1,357.26 = 612.03/x
  3. Step 3: Cross multiply
    906.14x = 1,357.26 × 612.03
  4. Step 4: Simplify right side
    906.14x = 830,675.52
  5. Step 5: Solve for x
    x = 830,675.52/906.14
  6. Step 6: Final answer
    x = 916.72

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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.