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Finding the Fourth Proportional to 1,110.60, 1,665.42 and 533.10

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Solution

The fourth proportional to 1,110.60, 1,665.42 and 533.10 is: 799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.60 : 1,665.42 = 533.10 : x
  2. Step 2: Convert to fraction form
    1,110.60/1,665.42 = 533.10/x
  3. Step 3: Cross multiply
    1,110.60x = 1,665.42 × 533.10
  4. Step 4: Simplify right side
    1,110.60x = 887,835.40
  5. Step 5: Solve for x
    x = 887,835.40/1,110.60
  6. Step 6: Final answer
    x = 799.42

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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.