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Finding the Fourth Proportional to 906.03, 1,356.37 and 675.93

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Solution

The fourth proportional to 906.03, 1,356.37 and 675.93 is: 1,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.03 : 1,356.37 = 675.93 : x
  2. Step 2: Convert to fraction form
    906.03/1,356.37 = 675.93/x
  3. Step 3: Cross multiply
    906.03x = 1,356.37 × 675.93
  4. Step 4: Simplify right side
    906.03x = 916,811.17
  5. Step 5: Solve for x
    x = 916,811.17/906.03
  6. Step 6: Final answer
    x = 1,011.90

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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.