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Finding the Fourth Proportional to 1,533.12, 2,300.02 and 559.22

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Solution

The fourth proportional to 1,533.12, 2,300.02 and 559.22 is: 838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.12 : 2,300.02 = 559.22 : x
  2. Step 2: Convert to fraction form
    1,533.12/2,300.02 = 559.22/x
  3. Step 3: Cross multiply
    1,533.12x = 2,300.02 × 559.22
  4. Step 4: Simplify right side
    1,533.12x = 1,286,223.06
  5. Step 5: Solve for x
    x = 1,286,223.06/1,533.12
  6. Step 6: Final answer
    x = 838.96

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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.