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Finding the Fourth Proportional to 883.90, 1,325.40 and 421.60

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Solution

The fourth proportional to 883.90, 1,325.40 and 421.60 is: 632.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.90 : 1,325.40 = 421.60 : x
  2. Step 2: Convert to fraction form
    883.90/1,325.40 = 421.60/x
  3. Step 3: Cross multiply
    883.90x = 1,325.40 × 421.60
  4. Step 4: Simplify right side
    883.90x = 558,788.64
  5. Step 5: Solve for x
    x = 558,788.64/883.90
  6. Step 6: Final answer
    x = 632.19

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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.