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Finding the Fourth Proportional to 789.07, 1,089.02 and 510.11

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Solution

The fourth proportional to 789.07, 1,089.02 and 510.11 is: 704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.07 : 1,089.02 = 510.11 : x
  2. Step 2: Convert to fraction form
    789.07/1,089.02 = 510.11/x
  3. Step 3: Cross multiply
    789.07x = 1,089.02 × 510.11
  4. Step 4: Simplify right side
    789.07x = 555,520.00
  5. Step 5: Solve for x
    x = 555,520.00/789.07
  6. Step 6: Final answer
    x = 704.02

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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.