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Finding the Fourth Proportional to 904.12, 1,355.34 and 557.20

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Solution

The fourth proportional to 904.12, 1,355.34 and 557.20 is: 835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.12 : 1,355.34 = 557.20 : x
  2. Step 2: Convert to fraction form
    904.12/1,355.34 = 557.20/x
  3. Step 3: Cross multiply
    904.12x = 1,355.34 × 557.20
  4. Step 4: Simplify right side
    904.12x = 755,195.45
  5. Step 5: Solve for x
    x = 755,195.45/904.12
  6. Step 6: Final answer
    x = 835.28

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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.