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Finding the Fourth Proportional to 881.40, 1,322.10 and 830.10

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Solution

The fourth proportional to 881.40, 1,322.10 and 830.10 is: 1,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.40 : 1,322.10 = 830.10 : x
  2. Step 2: Convert to fraction form
    881.40/1,322.10 = 830.10/x
  3. Step 3: Cross multiply
    881.40x = 1,322.10 × 830.10
  4. Step 4: Simplify right side
    881.40x = 1,097,475.21
  5. Step 5: Solve for x
    x = 1,097,475.21/881.40
  6. Step 6: Final answer
    x = 1,245.15

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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.