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Finding the Fourth Proportional to 743.99, 1,026.67 and 407.89

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Solution

The fourth proportional to 743.99, 1,026.67 and 407.89 is: 562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.99 : 1,026.67 = 407.89 : x
  2. Step 2: Convert to fraction form
    743.99/1,026.67 = 407.89/x
  3. Step 3: Cross multiply
    743.99x = 1,026.67 × 407.89
  4. Step 4: Simplify right side
    743.99x = 418,768.43
  5. Step 5: Solve for x
    x = 418,768.43/743.99
  6. Step 6: Final answer
    x = 562.87

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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.