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Finding the Fourth Proportional to 841.76, 1,255.74 and 782.84

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Solution

The fourth proportional to 841.76, 1,255.74 and 782.84 is: 1,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.76 : 1,255.74 = 782.84 : x
  2. Step 2: Convert to fraction form
    841.76/1,255.74 = 782.84/x
  3. Step 3: Cross multiply
    841.76x = 1,255.74 × 782.84
  4. Step 4: Simplify right side
    841.76x = 983,039.59
  5. Step 5: Solve for x
    x = 983,039.59/841.76
  6. Step 6: Final answer
    x = 1,167.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.