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Finding the Fourth Proportional to 1,798.07, 2,697.03 and 565.43

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Solution

The fourth proportional to 1,798.07, 2,697.03 and 565.43 is: 848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.07 : 2,697.03 = 565.43 : x
  2. Step 2: Convert to fraction form
    1,798.07/2,697.03 = 565.43/x
  3. Step 3: Cross multiply
    1,798.07x = 2,697.03 × 565.43
  4. Step 4: Simplify right side
    1,798.07x = 1,524,968.19
  5. Step 5: Solve for x
    x = 1,524,968.19/1,798.07
  6. Step 6: Final answer
    x = 848.12

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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.