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Finding the Fourth Proportional to 1,533.42, 2,298.75 and 558.84

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Solution

The fourth proportional to 1,533.42, 2,298.75 and 558.84 is: 837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.42 : 2,298.75 = 558.84 : x
  2. Step 2: Convert to fraction form
    1,533.42/2,298.75 = 558.84/x
  3. Step 3: Cross multiply
    1,533.42x = 2,298.75 × 558.84
  4. Step 4: Simplify right side
    1,533.42x = 1,284,633.45
  5. Step 5: Solve for x
    x = 1,284,633.45/1,533.42
  6. Step 6: Final answer
    x = 837.76

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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.