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Finding the Fourth Proportional to 1,053.14, 1,580.04 and 533.03

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Solution

The fourth proportional to 1,053.14, 1,580.04 and 533.03 is: 799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.14 : 1,580.04 = 533.03 : x
  2. Step 2: Convert to fraction form
    1,053.14/1,580.04 = 533.03/x
  3. Step 3: Cross multiply
    1,053.14x = 1,580.04 × 533.03
  4. Step 4: Simplify right side
    1,053.14x = 842,200.82
  5. Step 5: Solve for x
    x = 842,200.82/1,053.14
  6. Step 6: Final answer
    x = 799.71

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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.