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Finding the Fourth Proportional to 700.75, 1,050.42 and 289.32

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Solution

The fourth proportional to 700.75, 1,050.42 and 289.32 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.75 : 1,050.42 = 289.32 : x
  2. Step 2: Convert to fraction form
    700.75/1,050.42 = 289.32/x
  3. Step 3: Cross multiply
    700.75x = 1,050.42 × 289.32
  4. Step 4: Simplify right side
    700.75x = 303,908.94
  5. Step 5: Solve for x
    x = 303,908.94/700.75
  6. Step 6: Final answer
    x = 433.69

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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.