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Finding the Fourth Proportional to 1,384.16, 2,077.64 and 654.32

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Solution

The fourth proportional to 1,384.16, 2,077.64 and 654.32 is: 982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.16 : 2,077.64 = 654.32 : x
  2. Step 2: Convert to fraction form
    1,384.16/2,077.64 = 654.32/x
  3. Step 3: Cross multiply
    1,384.16x = 2,077.64 × 654.32
  4. Step 4: Simplify right side
    1,384.16x = 1,359,441.40
  5. Step 5: Solve for x
    x = 1,359,441.40/1,384.16
  6. Step 6: Final answer
    x = 982.14

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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.