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Finding the Fourth Proportional to 1,022.16, 1,533.24 and 429.24

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Solution

The fourth proportional to 1,022.16, 1,533.24 and 429.24 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.16 : 1,533.24 = 429.24 : x
  2. Step 2: Convert to fraction form
    1,022.16/1,533.24 = 429.24/x
  3. Step 3: Cross multiply
    1,022.16x = 1,533.24 × 429.24
  4. Step 4: Simplify right side
    1,022.16x = 658,127.94
  5. Step 5: Solve for x
    x = 658,127.94/1,022.16
  6. Step 6: Final answer
    x = 643.86

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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.