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Finding the Fourth Proportional to 1,318.02, 1,977.64 and 830.80

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Solution

The fourth proportional to 1,318.02, 1,977.64 and 830.80 is: 1,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.02 : 1,977.64 = 830.80 : x
  2. Step 2: Convert to fraction form
    1,318.02/1,977.64 = 830.80/x
  3. Step 3: Cross multiply
    1,318.02x = 1,977.64 × 830.80
  4. Step 4: Simplify right side
    1,318.02x = 1,643,023.31
  5. Step 5: Solve for x
    x = 1,643,023.31/1,318.02
  6. Step 6: Final answer
    x = 1,246.58

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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.