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Finding the Fourth Proportional to 1,699.46, 2,548.35 and 603.67

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Solution

The fourth proportional to 1,699.46, 2,548.35 and 603.67 is: 905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.46 : 2,548.35 = 603.67 : x
  2. Step 2: Convert to fraction form
    1,699.46/2,548.35 = 603.67/x
  3. Step 3: Cross multiply
    1,699.46x = 2,548.35 × 603.67
  4. Step 4: Simplify right side
    1,699.46x = 1,538,362.44
  5. Step 5: Solve for x
    x = 1,538,362.44/1,699.46
  6. Step 6: Final answer
    x = 905.21

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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.