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Finding the Fourth Proportional to 743.74, 1,114.65 and 414.67

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Solution

The fourth proportional to 743.74, 1,114.65 and 414.67 is: 621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.74 : 1,114.65 = 414.67 : x
  2. Step 2: Convert to fraction form
    743.74/1,114.65 = 414.67/x
  3. Step 3: Cross multiply
    743.74x = 1,114.65 × 414.67
  4. Step 4: Simplify right side
    743.74x = 462,207.06
  5. Step 5: Solve for x
    x = 462,207.06/743.74
  6. Step 6: Final answer
    x = 621.46

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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.