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Finding the Fourth Proportional to 700.27, 1,051.11 and 289.65

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Solution

The fourth proportional to 700.27, 1,051.11 and 289.65 is: 434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.27 : 1,051.11 = 289.65 : x
  2. Step 2: Convert to fraction form
    700.27/1,051.11 = 289.65/x
  3. Step 3: Cross multiply
    700.27x = 1,051.11 × 289.65
  4. Step 4: Simplify right side
    700.27x = 304,454.01
  5. Step 5: Solve for x
    x = 304,454.01/700.27
  6. Step 6: Final answer
    x = 434.77

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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.