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Finding the Fourth Proportional to 846.44, 1,173.01 and 830.03

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Solution

The fourth proportional to 846.44, 1,173.01 and 830.03 is: 1,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.44 : 1,173.01 = 830.03 : x
  2. Step 2: Convert to fraction form
    846.44/1,173.01 = 830.03/x
  3. Step 3: Cross multiply
    846.44x = 1,173.01 × 830.03
  4. Step 4: Simplify right side
    846.44x = 973,636.32
  5. Step 5: Solve for x
    x = 973,636.32/846.44
  6. Step 6: Final answer
    x = 1,150.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.