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Finding the Fourth Proportional to 1,269.10, 1,904.10 and 619.40

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Solution

The fourth proportional to 1,269.10, 1,904.10 and 619.40 is: 929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.10 : 1,904.10 = 619.40 : x
  2. Step 2: Convert to fraction form
    1,269.10/1,904.10 = 619.40/x
  3. Step 3: Cross multiply
    1,269.10x = 1,904.10 × 619.40
  4. Step 4: Simplify right side
    1,269.10x = 1,179,399.54
  5. Step 5: Solve for x
    x = 1,179,399.54/1,269.10
  6. Step 6: Final answer
    x = 929.32

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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.