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Finding the Fourth Proportional to 1,216, 1,824.64 and 608

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Solution

The fourth proportional to 1,216, 1,824.64 and 608 is: 912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216 : 1,824.64 = 608 : x
  2. Step 2: Convert to fraction form
    1,216/1,824.64 = 608/x
  3. Step 3: Cross multiply
    1,216x = 1,824.64 × 608
  4. Step 4: Simplify right side
    1,216x = 1,109,381.12
  5. Step 5: Solve for x
    x = 1,109,381.12/1,216
  6. Step 6: Final answer
    x = 912.32

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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.