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Finding the Fourth Proportional to 957.62, 1,435.44 and 649.50

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Solution

The fourth proportional to 957.62, 1,435.44 and 649.50 is: 973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.62 : 1,435.44 = 649.50 : x
  2. Step 2: Convert to fraction form
    957.62/1,435.44 = 649.50/x
  3. Step 3: Cross multiply
    957.62x = 1,435.44 × 649.50
  4. Step 4: Simplify right side
    957.62x = 932,318.28
  5. Step 5: Solve for x
    x = 932,318.28/957.62
  6. Step 6: Final answer
    x = 973.58

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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.