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Finding the Fourth Proportional to 1,302.99, 1,798.38 and 771.99

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Solution

The fourth proportional to 1,302.99, 1,798.38 and 771.99 is: 1,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.99 : 1,798.38 = 771.99 : x
  2. Step 2: Convert to fraction form
    1,302.99/1,798.38 = 771.99/x
  3. Step 3: Cross multiply
    1,302.99x = 1,798.38 × 771.99
  4. Step 4: Simplify right side
    1,302.99x = 1,388,331.38
  5. Step 5: Solve for x
    x = 1,388,331.38/1,302.99
  6. Step 6: Final answer
    x = 1,065.50

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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.