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Finding the Fourth Proportional to 957.63, 1,320.30 and 642.39

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Solution

The fourth proportional to 957.63, 1,320.30 and 642.39 is: 885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.63 : 1,320.30 = 642.39 : x
  2. Step 2: Convert to fraction form
    957.63/1,320.30 = 642.39/x
  3. Step 3: Cross multiply
    957.63x = 1,320.30 × 642.39
  4. Step 4: Simplify right side
    957.63x = 848,147.52
  5. Step 5: Solve for x
    x = 848,147.52/957.63
  6. Step 6: Final answer
    x = 885.67

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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.