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Finding the Fourth Proportional to 701.01, 1,051.52 and 289.71

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Solution

The fourth proportional to 701.01, 1,051.52 and 289.71 is: 434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.01 : 1,051.52 = 289.71 : x
  2. Step 2: Convert to fraction form
    701.01/1,051.52 = 289.71/x
  3. Step 3: Cross multiply
    701.01x = 1,051.52 × 289.71
  4. Step 4: Simplify right side
    701.01x = 304,634.41
  5. Step 5: Solve for x
    x = 304,634.41/701.01
  6. Step 6: Final answer
    x = 434.57

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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.