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Finding the Fourth Proportional to 888.16, 1,225.64 and 495.12

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Solution

The fourth proportional to 888.16, 1,225.64 and 495.12 is: 683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.16 : 1,225.64 = 495.12 : x
  2. Step 2: Convert to fraction form
    888.16/1,225.64 = 495.12/x
  3. Step 3: Cross multiply
    888.16x = 1,225.64 × 495.12
  4. Step 4: Simplify right side
    888.16x = 606,838.88
  5. Step 5: Solve for x
    x = 606,838.88/888.16
  6. Step 6: Final answer
    x = 683.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.