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Finding the Fourth Proportional to 906.04, 1,360.74 and 711.64

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Solution

The fourth proportional to 906.04, 1,360.74 and 711.64 is: 1,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.04 : 1,360.74 = 711.64 : x
  2. Step 2: Convert to fraction form
    906.04/1,360.74 = 711.64/x
  3. Step 3: Cross multiply
    906.04x = 1,360.74 × 711.64
  4. Step 4: Simplify right side
    906.04x = 968,357.01
  5. Step 5: Solve for x
    x = 968,357.01/906.04
  6. Step 6: Final answer
    x = 1,068.78

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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.