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Finding the Fourth Proportional to 1,094, 1,641.72 and 410

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Solution

The fourth proportional to 1,094, 1,641.72 and 410 is: 615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094 : 1,641.72 = 410 : x
  2. Step 2: Convert to fraction form
    1,094/1,641.72 = 410/x
  3. Step 3: Cross multiply
    1,094x = 1,641.72 × 410
  4. Step 4: Simplify right side
    1,094x = 673,105.20
  5. Step 5: Solve for x
    x = 673,105.20/1,094
  6. Step 6: Final answer
    x = 615.27

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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.