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Finding the Fourth Proportional to 1,533.44, 2,300.96 and 840.16

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Solution

The fourth proportional to 1,533.44, 2,300.96 and 840.16 is: 1,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.44 : 2,300.96 = 840.16 : x
  2. Step 2: Convert to fraction form
    1,533.44/2,300.96 = 840.16/x
  3. Step 3: Cross multiply
    1,533.44x = 2,300.96 × 840.16
  4. Step 4: Simplify right side
    1,533.44x = 1,933,174.55
  5. Step 5: Solve for x
    x = 1,933,174.55/1,533.44
  6. Step 6: Final answer
    x = 1,260.68

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Why These Related Problems?

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