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Finding the Fourth Proportional to 1,228.74, 1,842.93 and 407.04

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Solution

The fourth proportional to 1,228.74, 1,842.93 and 407.04 is: 610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.74 : 1,842.93 = 407.04 : x
  2. Step 2: Convert to fraction form
    1,228.74/1,842.93 = 407.04/x
  3. Step 3: Cross multiply
    1,228.74x = 1,842.93 × 407.04
  4. Step 4: Simplify right side
    1,228.74x = 750,146.23
  5. Step 5: Solve for x
    x = 750,146.23/1,228.74
  6. Step 6: Final answer
    x = 610.50

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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.