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Finding the Fourth Proportional to 1,384.84, 2,077.40 and 654.22

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Solution

The fourth proportional to 1,384.84, 2,077.40 and 654.22 is: 981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.84 : 2,077.40 = 654.22 : x
  2. Step 2: Convert to fraction form
    1,384.84/2,077.40 = 654.22/x
  3. Step 3: Cross multiply
    1,384.84x = 2,077.40 × 654.22
  4. Step 4: Simplify right side
    1,384.84x = 1,359,076.63
  5. Step 5: Solve for x
    x = 1,359,076.63/1,384.84
  6. Step 6: Final answer
    x = 981.40

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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.