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Finding the Fourth Proportional to 1,055.80, 1,583.79 and 275.91

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Solution

The fourth proportional to 1,055.80, 1,583.79 and 275.91 is: 413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.80 : 1,583.79 = 275.91 : x
  2. Step 2: Convert to fraction form
    1,055.80/1,583.79 = 275.91/x
  3. Step 3: Cross multiply
    1,055.80x = 1,583.79 × 275.91
  4. Step 4: Simplify right side
    1,055.80x = 436,983.50
  5. Step 5: Solve for x
    x = 436,983.50/1,055.80
  6. Step 6: Final answer
    x = 413.89

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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.