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Finding the Fourth Proportional to 1,020.64, 1,410.08 and 896.64

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Solution

The fourth proportional to 1,020.64, 1,410.08 and 896.64 is: 1,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.64 : 1,410.08 = 896.64 : x
  2. Step 2: Convert to fraction form
    1,020.64/1,410.08 = 896.64/x
  3. Step 3: Cross multiply
    1,020.64x = 1,410.08 × 896.64
  4. Step 4: Simplify right side
    1,020.64x = 1,264,334.13
  5. Step 5: Solve for x
    x = 1,264,334.13/1,020.64
  6. Step 6: Final answer
    x = 1,238.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.