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Finding the Fourth Proportional to 1,318.59, 1,820.04 and 820.98

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Solution

The fourth proportional to 1,318.59, 1,820.04 and 820.98 is: 1,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.59 : 1,820.04 = 820.98 : x
  2. Step 2: Convert to fraction form
    1,318.59/1,820.04 = 820.98/x
  3. Step 3: Cross multiply
    1,318.59x = 1,820.04 × 820.98
  4. Step 4: Simplify right side
    1,318.59x = 1,494,216.44
  5. Step 5: Solve for x
    x = 1,494,216.44/1,318.59
  6. Step 6: Final answer
    x = 1,133.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.