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Finding the Fourth Proportional to 700.53, 1,051.28 and 289.67

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Solution

The fourth proportional to 700.53, 1,051.28 and 289.67 is: 434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.53 : 1,051.28 = 289.67 : x
  2. Step 2: Convert to fraction form
    700.53/1,051.28 = 289.67/x
  3. Step 3: Cross multiply
    700.53x = 1,051.28 × 289.67
  4. Step 4: Simplify right side
    700.53x = 304,524.28
  5. Step 5: Solve for x
    x = 304,524.28/700.53
  6. Step 6: Final answer
    x = 434.71

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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.