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Finding the Fourth Proportional to 1,533.74, 2,299.02 and 711.34

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Solution

The fourth proportional to 1,533.74, 2,299.02 and 711.34 is: 1,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.74 : 2,299.02 = 711.34 : x
  2. Step 2: Convert to fraction form
    1,533.74/2,299.02 = 711.34/x
  3. Step 3: Cross multiply
    1,533.74x = 2,299.02 × 711.34
  4. Step 4: Simplify right side
    1,533.74x = 1,635,379.14
  5. Step 5: Solve for x
    x = 1,635,379.14/1,533.74
  6. Step 6: Final answer
    x = 1,066.27

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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.