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Finding the Fourth Proportional to 896.96, 1,345.80 and 410.24

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Solution

The fourth proportional to 896.96, 1,345.80 and 410.24 is: 615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.96 : 1,345.80 = 410.24 : x
  2. Step 2: Convert to fraction form
    896.96/1,345.80 = 410.24/x
  3. Step 3: Cross multiply
    896.96x = 1,345.80 × 410.24
  4. Step 4: Simplify right side
    896.96x = 552,100.99
  5. Step 5: Solve for x
    x = 552,100.99/896.96
  6. Step 6: Final answer
    x = 615.52

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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.