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Finding the Fourth Proportional to 817.59, 1,128.44 and 463.52

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Solution

The fourth proportional to 817.59, 1,128.44 and 463.52 is: 639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.59 : 1,128.44 = 463.52 : x
  2. Step 2: Convert to fraction form
    817.59/1,128.44 = 463.52/x
  3. Step 3: Cross multiply
    817.59x = 1,128.44 × 463.52
  4. Step 4: Simplify right side
    817.59x = 523,055.60
  5. Step 5: Solve for x
    x = 523,055.60/817.59
  6. Step 6: Final answer
    x = 639.75

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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.