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Finding the Fourth Proportional to 1,042.33, 1,438.46 and 576.67

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Solution

The fourth proportional to 1,042.33, 1,438.46 and 576.67 is: 795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.33 : 1,438.46 = 576.67 : x
  2. Step 2: Convert to fraction form
    1,042.33/1,438.46 = 576.67/x
  3. Step 3: Cross multiply
    1,042.33x = 1,438.46 × 576.67
  4. Step 4: Simplify right side
    1,042.33x = 829,513.84
  5. Step 5: Solve for x
    x = 829,513.84/1,042.33
  6. Step 6: Final answer
    x = 795.83

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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.