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Finding the Fourth Proportional to 852.59, 1,277.91 and 698.83

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Solution

The fourth proportional to 852.59, 1,277.91 and 698.83 is: 1,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.59 : 1,277.91 = 698.83 : x
  2. Step 2: Convert to fraction form
    852.59/1,277.91 = 698.83/x
  3. Step 3: Cross multiply
    852.59x = 1,277.91 × 698.83
  4. Step 4: Simplify right side
    852.59x = 893,038.65
  5. Step 5: Solve for x
    x = 893,038.65/852.59
  6. Step 6: Final answer
    x = 1,047.44

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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.