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Finding the Fourth Proportional to 1,316.08, 1,974.12 and 450.40

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Solution

The fourth proportional to 1,316.08, 1,974.12 and 450.40 is: 675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.08 : 1,974.12 = 450.40 : x
  2. Step 2: Convert to fraction form
    1,316.08/1,974.12 = 450.40/x
  3. Step 3: Cross multiply
    1,316.08x = 1,974.12 × 450.40
  4. Step 4: Simplify right side
    1,316.08x = 889,143.65
  5. Step 5: Solve for x
    x = 889,143.65/1,316.08
  6. Step 6: Final answer
    x = 675.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.