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Finding the Fourth Proportional to 1,798.72, 2,698.40 and 566.32

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Solution

The fourth proportional to 1,798.72, 2,698.40 and 566.32 is: 849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.72 : 2,698.40 = 566.32 : x
  2. Step 2: Convert to fraction form
    1,798.72/2,698.40 = 566.32/x
  3. Step 3: Cross multiply
    1,798.72x = 2,698.40 × 566.32
  4. Step 4: Simplify right side
    1,798.72x = 1,528,157.89
  5. Step 5: Solve for x
    x = 1,528,157.89/1,798.72
  6. Step 6: Final answer
    x = 849.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.