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Finding the Fourth Proportional to 1,022.40, 1,533.42 and 292.03

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Solution

The fourth proportional to 1,022.40, 1,533.42 and 292.03 is: 437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.40 : 1,533.42 = 292.03 : x
  2. Step 2: Convert to fraction form
    1,022.40/1,533.42 = 292.03/x
  3. Step 3: Cross multiply
    1,022.40x = 1,533.42 × 292.03
  4. Step 4: Simplify right side
    1,022.40x = 447,800.81
  5. Step 5: Solve for x
    x = 447,800.81/1,022.40
  6. Step 6: Final answer
    x = 437.99

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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.