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Finding the Fourth Proportional to 1,391.73, 2,087.19 and 417.57

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Solution

The fourth proportional to 1,391.73, 2,087.19 and 417.57 is: 626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.73 : 2,087.19 = 417.57 : x
  2. Step 2: Convert to fraction form
    1,391.73/2,087.19 = 417.57/x
  3. Step 3: Cross multiply
    1,391.73x = 2,087.19 × 417.57
  4. Step 4: Simplify right side
    1,391.73x = 871,547.93
  5. Step 5: Solve for x
    x = 871,547.93/1,391.73
  6. Step 6: Final answer
    x = 626.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.