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Finding the Fourth Proportional to 1,219.00, 1,828.43 and 977.07

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Solution

The fourth proportional to 1,219.00, 1,828.43 and 977.07 is: 1,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.00 : 1,828.43 = 977.07 : x
  2. Step 2: Convert to fraction form
    1,219.00/1,828.43 = 977.07/x
  3. Step 3: Cross multiply
    1,219.00x = 1,828.43 × 977.07
  4. Step 4: Simplify right side
    1,219.00x = 1,786,504.10
  5. Step 5: Solve for x
    x = 1,786,504.10/1,219.00
  6. Step 6: Final answer
    x = 1,465.55

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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.