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Finding the Fourth Proportional to 788.48, 1,089.32 and 733.84

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Solution

The fourth proportional to 788.48, 1,089.32 and 733.84 is: 1,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.48 : 1,089.32 = 733.84 : x
  2. Step 2: Convert to fraction form
    788.48/1,089.32 = 733.84/x
  3. Step 3: Cross multiply
    788.48x = 1,089.32 × 733.84
  4. Step 4: Simplify right side
    788.48x = 799,386.59
  5. Step 5: Solve for x
    x = 799,386.59/788.48
  6. Step 6: Final answer
    x = 1,013.83

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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.