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Finding the Fourth Proportional to 1,219.34, 1,829.47 and 603.64

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Solution

The fourth proportional to 1,219.34, 1,829.47 and 603.64 is: 905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.34 : 1,829.47 = 603.64 : x
  2. Step 2: Convert to fraction form
    1,219.34/1,829.47 = 603.64/x
  3. Step 3: Cross multiply
    1,219.34x = 1,829.47 × 603.64
  4. Step 4: Simplify right side
    1,219.34x = 1,104,341.27
  5. Step 5: Solve for x
    x = 1,104,341.27/1,219.34
  6. Step 6: Final answer
    x = 905.69

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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.