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Finding the Fourth Proportional to 749.79, 1,036.04 and 576.63

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Solution

The fourth proportional to 749.79, 1,036.04 and 576.63 is: 796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.79 : 1,036.04 = 576.63 : x
  2. Step 2: Convert to fraction form
    749.79/1,036.04 = 576.63/x
  3. Step 3: Cross multiply
    749.79x = 1,036.04 × 576.63
  4. Step 4: Simplify right side
    749.79x = 597,408.86
  5. Step 5: Solve for x
    x = 597,408.86/749.79
  6. Step 6: Final answer
    x = 796.77

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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.