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Finding the Fourth Proportional to 1,104.32, 1,656.75 and 324.29

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Solution

The fourth proportional to 1,104.32, 1,656.75 and 324.29 is: 486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.32 : 1,656.75 = 324.29 : x
  2. Step 2: Convert to fraction form
    1,104.32/1,656.75 = 324.29/x
  3. Step 3: Cross multiply
    1,104.32x = 1,656.75 × 324.29
  4. Step 4: Simplify right side
    1,104.32x = 537,259.17
  5. Step 5: Solve for x
    x = 537,259.17/1,104.32
  6. Step 6: Final answer
    x = 486.51

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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.