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Finding the Fourth Proportional to 957.80, 1,437.66 and 645.41

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Solution

The fourth proportional to 957.80, 1,437.66 and 645.41 is: 968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.80 : 1,437.66 = 645.41 : x
  2. Step 2: Convert to fraction form
    957.80/1,437.66 = 645.41/x
  3. Step 3: Cross multiply
    957.80x = 1,437.66 × 645.41
  4. Step 4: Simplify right side
    957.80x = 927,880.14
  5. Step 5: Solve for x
    x = 927,880.14/957.80
  6. Step 6: Final answer
    x = 968.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.