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Finding the Fourth Proportional to 1,318.07, 1,977.40 and 452.38

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Solution

The fourth proportional to 1,318.07, 1,977.40 and 452.38 is: 678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.07 : 1,977.40 = 452.38 : x
  2. Step 2: Convert to fraction form
    1,318.07/1,977.40 = 452.38/x
  3. Step 3: Cross multiply
    1,318.07x = 1,977.40 × 452.38
  4. Step 4: Simplify right side
    1,318.07x = 894,526.33
  5. Step 5: Solve for x
    x = 894,526.33/1,318.07
  6. Step 6: Final answer
    x = 678.67

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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.