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Finding the Fourth Proportional to 883.63, 1,322.34 and 606.07

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Solution

The fourth proportional to 883.63, 1,322.34 and 606.07 is: 906.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.63 : 1,322.34 = 606.07 : x
  2. Step 2: Convert to fraction form
    883.63/1,322.34 = 606.07/x
  3. Step 3: Cross multiply
    883.63x = 1,322.34 × 606.07
  4. Step 4: Simplify right side
    883.63x = 801,430.60
  5. Step 5: Solve for x
    x = 801,430.60/883.63
  6. Step 6: Final answer
    x = 906.98

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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.