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Finding the Fourth Proportional to 853.64, 1,280.55 and 420.69

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Solution

The fourth proportional to 853.64, 1,280.55 and 420.69 is: 631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.64 : 1,280.55 = 420.69 : x
  2. Step 2: Convert to fraction form
    853.64/1,280.55 = 420.69/x
  3. Step 3: Cross multiply
    853.64x = 1,280.55 × 420.69
  4. Step 4: Simplify right side
    853.64x = 538,714.58
  5. Step 5: Solve for x
    x = 538,714.58/853.64
  6. Step 6: Final answer
    x = 631.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.