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Finding the Fourth Proportional to 783.74, 1,082.22 and 551

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Solution

The fourth proportional to 783.74, 1,082.22 and 551 is: 760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.74 : 1,082.22 = 551 : x
  2. Step 2: Convert to fraction form
    783.74/1,082.22 = 551/x
  3. Step 3: Cross multiply
    783.74x = 1,082.22 × 551
  4. Step 4: Simplify right side
    783.74x = 596,303.22
  5. Step 5: Solve for x
    x = 596,303.22/783.74
  6. Step 6: Final answer
    x = 760.84

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Why These Related Problems?

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