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Finding the Fourth Proportional to 825.64, 1,237.14 and 435.62

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Solution

The fourth proportional to 825.64, 1,237.14 and 435.62 is: 652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.64 : 1,237.14 = 435.62 : x
  2. Step 2: Convert to fraction form
    825.64/1,237.14 = 435.62/x
  3. Step 3: Cross multiply
    825.64x = 1,237.14 × 435.62
  4. Step 4: Simplify right side
    825.64x = 538,926.02
  5. Step 5: Solve for x
    x = 538,926.02/825.64
  6. Step 6: Final answer
    x = 652.74

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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.