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Finding the Fourth Proportional to 1,316.93, 1,974.00 and 439.21

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Solution

The fourth proportional to 1,316.93, 1,974.00 and 439.21 is: 658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.93 : 1,974.00 = 439.21 : x
  2. Step 2: Convert to fraction form
    1,316.93/1,974.00 = 439.21/x
  3. Step 3: Cross multiply
    1,316.93x = 1,974.00 × 439.21
  4. Step 4: Simplify right side
    1,316.93x = 866,993.55
  5. Step 5: Solve for x
    x = 866,993.55/1,316.93
  6. Step 6: Final answer
    x = 658.35

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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.