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Finding the Fourth Proportional to 1,104.12, 1,654.20 and 555.48

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Solution

The fourth proportional to 1,104.12, 1,654.20 and 555.48 is: 832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.12 : 1,654.20 = 555.48 : x
  2. Step 2: Convert to fraction form
    1,104.12/1,654.20 = 555.48/x
  3. Step 3: Cross multiply
    1,104.12x = 1,654.20 × 555.48
  4. Step 4: Simplify right side
    1,104.12x = 918,875.02
  5. Step 5: Solve for x
    x = 918,875.02/1,104.12
  6. Step 6: Final answer
    x = 832.22

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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.