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Finding the Fourth Proportional to 1,110.58, 1,664.93 and 525.24

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Solution

The fourth proportional to 1,110.58, 1,664.93 and 525.24 is: 787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.58 : 1,664.93 = 525.24 : x
  2. Step 2: Convert to fraction form
    1,110.58/1,664.93 = 525.24/x
  3. Step 3: Cross multiply
    1,110.58x = 1,664.93 × 525.24
  4. Step 4: Simplify right side
    1,110.58x = 874,489.15
  5. Step 5: Solve for x
    x = 874,489.15/1,110.58
  6. Step 6: Final answer
    x = 787.42

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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.