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Finding the Fourth Proportional to 1,024, 1,536.64 and 416

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Solution

The fourth proportional to 1,024, 1,536.64 and 416 is: 624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024 : 1,536.64 = 416 : x
  2. Step 2: Convert to fraction form
    1,024/1,536.64 = 416/x
  3. Step 3: Cross multiply
    1,024x = 1,536.64 × 416
  4. Step 4: Simplify right side
    1,024x = 639,242.24
  5. Step 5: Solve for x
    x = 639,242.24/1,024
  6. Step 6: Final answer
    x = 624.26

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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.