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Finding the Fourth Proportional to 700.69, 1,051.13 and 289.78

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Solution

The fourth proportional to 700.69, 1,051.13 and 289.78 is: 434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.69 : 1,051.13 = 289.78 : x
  2. Step 2: Convert to fraction form
    700.69/1,051.13 = 289.78/x
  3. Step 3: Cross multiply
    700.69x = 1,051.13 × 289.78
  4. Step 4: Simplify right side
    700.69x = 304,592.92
  5. Step 5: Solve for x
    x = 304,592.92/700.69
  6. Step 6: Final answer
    x = 434.70

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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.