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Finding the Fourth Proportional to 700.81, 1,050.93 and 289.84

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Solution

The fourth proportional to 700.81, 1,050.93 and 289.84 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.81 : 1,050.93 = 289.84 : x
  2. Step 2: Convert to fraction form
    700.81/1,050.93 = 289.84/x
  3. Step 3: Cross multiply
    700.81x = 1,050.93 × 289.84
  4. Step 4: Simplify right side
    700.81x = 304,601.55
  5. Step 5: Solve for x
    x = 304,601.55/700.81
  6. Step 6: Final answer
    x = 434.64

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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.