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Finding the Fourth Proportional to 855.03, 1,282.53 and 410.19

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Solution

The fourth proportional to 855.03, 1,282.53 and 410.19 is: 615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.03 : 1,282.53 = 410.19 : x
  2. Step 2: Convert to fraction form
    855.03/1,282.53 = 410.19/x
  3. Step 3: Cross multiply
    855.03x = 1,282.53 × 410.19
  4. Step 4: Simplify right side
    855.03x = 526,080.98
  5. Step 5: Solve for x
    x = 526,080.98/855.03
  6. Step 6: Final answer
    x = 615.28

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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.