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Finding the Fourth Proportional to 1,357.94, 2,035.49 and 628.00

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Solution

The fourth proportional to 1,357.94, 2,035.49 and 628.00 is: 941.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.94 : 2,035.49 = 628.00 : x
  2. Step 2: Convert to fraction form
    1,357.94/2,035.49 = 628.00/x
  3. Step 3: Cross multiply
    1,357.94x = 2,035.49 × 628.00
  4. Step 4: Simplify right side
    1,357.94x = 1,278,274.40
  5. Step 5: Solve for x
    x = 1,278,274.40/1,357.94
  6. Step 6: Final answer
    x = 941.33

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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.