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Finding the Fourth Proportional to 1,698.53, 2,548.16 and 528.51

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Solution

The fourth proportional to 1,698.53, 2,548.16 and 528.51 is: 792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.53 : 2,548.16 = 528.51 : x
  2. Step 2: Convert to fraction form
    1,698.53/2,548.16 = 528.51/x
  3. Step 3: Cross multiply
    1,698.53x = 2,548.16 × 528.51
  4. Step 4: Simplify right side
    1,698.53x = 1,346,728.04
  5. Step 5: Solve for x
    x = 1,346,728.04/1,698.53
  6. Step 6: Final answer
    x = 792.88

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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.