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Finding the Fourth Proportional to 730.40, 1,006.56 and 619.52

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Solution

The fourth proportional to 730.40, 1,006.56 and 619.52 is: 853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,006.56 = 619.52 : x
  2. Step 2: Convert to fraction form
    730.40/1,006.56 = 619.52/x
  3. Step 3: Cross multiply
    730.40x = 1,006.56 × 619.52
  4. Step 4: Simplify right side
    730.40x = 623,584.05
  5. Step 5: Solve for x
    x = 623,584.05/730.40
  6. Step 6: Final answer
    x = 853.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.