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Finding the Fourth Proportional to 1,146.69, 1,718.97 and 415.74

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Solution

The fourth proportional to 1,146.69, 1,718.97 and 415.74 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.69 : 1,718.97 = 415.74 : x
  2. Step 2: Convert to fraction form
    1,146.69/1,718.97 = 415.74/x
  3. Step 3: Cross multiply
    1,146.69x = 1,718.97 × 415.74
  4. Step 4: Simplify right side
    1,146.69x = 714,644.59
  5. Step 5: Solve for x
    x = 714,644.59/1,146.69
  6. Step 6: Final answer
    x = 623.22

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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.