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Finding the Fourth Proportional to 842.54, 1,264.39 and 410.00

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Solution

The fourth proportional to 842.54, 1,264.39 and 410.00 is: 615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.54 : 1,264.39 = 410.00 : x
  2. Step 2: Convert to fraction form
    842.54/1,264.39 = 410.00/x
  3. Step 3: Cross multiply
    842.54x = 1,264.39 × 410.00
  4. Step 4: Simplify right side
    842.54x = 518,402.04
  5. Step 5: Solve for x
    x = 518,402.04/842.54
  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.