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Finding the Fourth Proportional to 1,735.37, 2,603.03 and 419.11

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Solution

The fourth proportional to 1,735.37, 2,603.03 and 419.11 is: 628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.37 : 2,603.03 = 419.11 : x
  2. Step 2: Convert to fraction form
    1,735.37/2,603.03 = 419.11/x
  3. Step 3: Cross multiply
    1,735.37x = 2,603.03 × 419.11
  4. Step 4: Simplify right side
    1,735.37x = 1,090,955.80
  5. Step 5: Solve for x
    x = 1,090,955.80/1,735.37
  6. Step 6: Final answer
    x = 628.66

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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.