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Finding the Fourth Proportional to 1,104.80, 1,655.67 and 557.34

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Solution

The fourth proportional to 1,104.80, 1,655.67 and 557.34 is: 835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.80 : 1,655.67 = 557.34 : x
  2. Step 2: Convert to fraction form
    1,104.80/1,655.67 = 557.34/x
  3. Step 3: Cross multiply
    1,104.80x = 1,655.67 × 557.34
  4. Step 4: Simplify right side
    1,104.80x = 922,771.12
  5. Step 5: Solve for x
    x = 922,771.12/1,104.80
  6. Step 6: Final answer
    x = 835.24

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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.