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Finding the Fourth Proportional to 743.06, 1,025.40 and 411.49

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Solution

The fourth proportional to 743.06, 1,025.40 and 411.49 is: 567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.06 : 1,025.40 = 411.49 : x
  2. Step 2: Convert to fraction form
    743.06/1,025.40 = 411.49/x
  3. Step 3: Cross multiply
    743.06x = 1,025.40 × 411.49
  4. Step 4: Simplify right side
    743.06x = 421,941.85
  5. Step 5: Solve for x
    x = 421,941.85/743.06
  6. Step 6: Final answer
    x = 567.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.