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Finding the Fourth Proportional to 1,147.30, 1,720.96 and 416.72

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Solution

The fourth proportional to 1,147.30, 1,720.96 and 416.72 is: 625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.30 : 1,720.96 = 416.72 : x
  2. Step 2: Convert to fraction form
    1,147.30/1,720.96 = 416.72/x
  3. Step 3: Cross multiply
    1,147.30x = 1,720.96 × 416.72
  4. Step 4: Simplify right side
    1,147.30x = 717,158.45
  5. Step 5: Solve for x
    x = 717,158.45/1,147.30
  6. Step 6: Final answer
    x = 625.08

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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.