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Finding the Fourth Proportional to 1,146.04, 1,718.52 and 415.42

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Solution

The fourth proportional to 1,146.04, 1,718.52 and 415.42 is: 622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.04 : 1,718.52 = 415.42 : x
  2. Step 2: Convert to fraction form
    1,146.04/1,718.52 = 415.42/x
  3. Step 3: Cross multiply
    1,146.04x = 1,718.52 × 415.42
  4. Step 4: Simplify right side
    1,146.04x = 713,907.58
  5. Step 5: Solve for x
    x = 713,907.58/1,146.04
  6. Step 6: Final answer
    x = 622.93

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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.