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Finding the Fourth Proportional to 1,225.94, 1,838.63 and 403.99

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Solution

The fourth proportional to 1,225.94, 1,838.63 and 403.99 is: 605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.94 : 1,838.63 = 403.99 : x
  2. Step 2: Convert to fraction form
    1,225.94/1,838.63 = 403.99/x
  3. Step 3: Cross multiply
    1,225.94x = 1,838.63 × 403.99
  4. Step 4: Simplify right side
    1,225.94x = 742,784.55
  5. Step 5: Solve for x
    x = 742,784.55/1,225.94
  6. Step 6: Final answer
    x = 605.89

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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.