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Finding the Fourth Proportional to 1,228.02, 1,840.50 and 678.84

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Solution

The fourth proportional to 1,228.02, 1,840.50 and 678.84 is: 1,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.02 : 1,840.50 = 678.84 : x
  2. Step 2: Convert to fraction form
    1,228.02/1,840.50 = 678.84/x
  3. Step 3: Cross multiply
    1,228.02x = 1,840.50 × 678.84
  4. Step 4: Simplify right side
    1,228.02x = 1,249,405.02
  5. Step 5: Solve for x
    x = 1,249,405.02/1,228.02
  6. Step 6: Final answer
    x = 1,017.41

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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.