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Finding the Fourth Proportional to 1,381.05, 2,071.40 and 650.25

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Solution

The fourth proportional to 1,381.05, 2,071.40 and 650.25 is: 975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.05 : 2,071.40 = 650.25 : x
  2. Step 2: Convert to fraction form
    1,381.05/2,071.40 = 650.25/x
  3. Step 3: Cross multiply
    1,381.05x = 2,071.40 × 650.25
  4. Step 4: Simplify right side
    1,381.05x = 1,346,924.60
  5. Step 5: Solve for x
    x = 1,346,924.60/1,381.05
  6. Step 6: Final answer
    x = 975.29

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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.