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Finding the Fourth Proportional to 744.49, 1,027.37 and 429.67

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Solution

The fourth proportional to 744.49, 1,027.37 and 429.67 is: 592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.49 : 1,027.37 = 429.67 : x
  2. Step 2: Convert to fraction form
    744.49/1,027.37 = 429.67/x
  3. Step 3: Cross multiply
    744.49x = 1,027.37 × 429.67
  4. Step 4: Simplify right side
    744.49x = 441,430.07
  5. Step 5: Solve for x
    x = 441,430.07/744.49
  6. Step 6: Final answer
    x = 592.93

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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.