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Finding the Fourth Proportional to 1,291.41, 1,782.16 and 701.95

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Solution

The fourth proportional to 1,291.41, 1,782.16 and 701.95 is: 968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.41 : 1,782.16 = 701.95 : x
  2. Step 2: Convert to fraction form
    1,291.41/1,782.16 = 701.95/x
  3. Step 3: Cross multiply
    1,291.41x = 1,782.16 × 701.95
  4. Step 4: Simplify right side
    1,291.41x = 1,250,981.76
  5. Step 5: Solve for x
    x = 1,250,981.76/1,291.41
  6. Step 6: Final answer
    x = 968.69

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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.