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Finding the Fourth Proportional to 900.09, 1,347.34 and 488.21

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Solution

The fourth proportional to 900.09, 1,347.34 and 488.21 is: 730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.09 : 1,347.34 = 488.21 : x
  2. Step 2: Convert to fraction form
    900.09/1,347.34 = 488.21/x
  3. Step 3: Cross multiply
    900.09x = 1,347.34 × 488.21
  4. Step 4: Simplify right side
    900.09x = 657,784.86
  5. Step 5: Solve for x
    x = 657,784.86/900.09
  6. Step 6: Final answer
    x = 730.80

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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.