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Finding the Fourth Proportional to 740, 1,110 and 284

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Solution

The fourth proportional to 740, 1,110 and 284 is: 426

Step by Step Solution

  1. Step 1: Write the proportion equation
    740 : 1,110 = 284 : x
  2. Step 2: Convert to fraction form
    740/1,110 = 284/x
  3. Step 3: Cross multiply
    740x = 1,110 × 284
  4. Step 4: Simplify right side
    740x = 315,240
  5. Step 5: Solve for x
    x = 315,240/740
  6. Step 6: Final answer
    x = 426

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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.