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Finding the Fourth Proportional to 1,291.75, 1,780.95 and 1,055.46

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Solution

The fourth proportional to 1,291.75, 1,780.95 and 1,055.46 is: 1,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.75 : 1,780.95 = 1,055.46 : x
  2. Step 2: Convert to fraction form
    1,291.75/1,780.95 = 1,055.46/x
  3. Step 3: Cross multiply
    1,291.75x = 1,780.95 × 1,055.46
  4. Step 4: Simplify right side
    1,291.75x = 1,879,721.49
  5. Step 5: Solve for x
    x = 1,879,721.49/1,291.75
  6. Step 6: Final answer
    x = 1,455.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.