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Finding the Fourth Proportional to 1,146.10, 1,719.25 and 415.48

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Solution

The fourth proportional to 1,146.10, 1,719.25 and 415.48 is: 623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.10 : 1,719.25 = 415.48 : x
  2. Step 2: Convert to fraction form
    1,146.10/1,719.25 = 415.48/x
  3. Step 3: Cross multiply
    1,146.10x = 1,719.25 × 415.48
  4. Step 4: Simplify right side
    1,146.10x = 714,313.05
  5. Step 5: Solve for x
    x = 714,313.05/1,146.10
  6. Step 6: Final answer
    x = 623.26

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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.