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Finding the Fourth Proportional to 957.59, 1,434.34 and 696.33

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Solution

The fourth proportional to 957.59, 1,434.34 and 696.33 is: 1,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.59 : 1,434.34 = 696.33 : x
  2. Step 2: Convert to fraction form
    957.59/1,434.34 = 696.33/x
  3. Step 3: Cross multiply
    957.59x = 1,434.34 × 696.33
  4. Step 4: Simplify right side
    957.59x = 998,774.84
  5. Step 5: Solve for x
    x = 998,774.84/957.59
  6. Step 6: Final answer
    x = 1,043.01

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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.