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Finding the Fourth Proportional to 1,269.67, 1,904.54 and 345.22

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Solution

The fourth proportional to 1,269.67, 1,904.54 and 345.22 is: 517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.67 : 1,904.54 = 345.22 : x
  2. Step 2: Convert to fraction form
    1,269.67/1,904.54 = 345.22/x
  3. Step 3: Cross multiply
    1,269.67x = 1,904.54 × 345.22
  4. Step 4: Simplify right side
    1,269.67x = 657,485.30
  5. Step 5: Solve for x
    x = 657,485.30/1,269.67
  6. Step 6: Final answer
    x = 517.84

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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.