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Finding the Fourth Proportional to 957.14, 1,434.33 and 469.64

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Solution

The fourth proportional to 957.14, 1,434.33 and 469.64 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.14 : 1,434.33 = 469.64 : x
  2. Step 2: Convert to fraction form
    957.14/1,434.33 = 469.64/x
  3. Step 3: Cross multiply
    957.14x = 1,434.33 × 469.64
  4. Step 4: Simplify right side
    957.14x = 673,618.74
  5. Step 5: Solve for x
    x = 673,618.74/957.14
  6. Step 6: Final answer
    x = 703.78

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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.