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Finding the Fourth Proportional to 1,147.40, 1,720.85 and 325.45

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Solution

The fourth proportional to 1,147.40, 1,720.85 and 325.45 is: 488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.40 : 1,720.85 = 325.45 : x
  2. Step 2: Convert to fraction form
    1,147.40/1,720.85 = 325.45/x
  3. Step 3: Cross multiply
    1,147.40x = 1,720.85 × 325.45
  4. Step 4: Simplify right side
    1,147.40x = 560,050.63
  5. Step 5: Solve for x
    x = 560,050.63/1,147.40
  6. Step 6: Final answer
    x = 488.10

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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.