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Finding the Fourth Proportional to 883.99, 1,325.13 and 421.64

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Solution

The fourth proportional to 883.99, 1,325.13 and 421.64 is: 632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.99 : 1,325.13 = 421.64 : x
  2. Step 2: Convert to fraction form
    883.99/1,325.13 = 421.64/x
  3. Step 3: Cross multiply
    883.99x = 1,325.13 × 421.64
  4. Step 4: Simplify right side
    883.99x = 558,727.81
  5. Step 5: Solve for x
    x = 558,727.81/883.99
  6. Step 6: Final answer
    x = 632.06

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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.