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Finding the Fourth Proportional to 1,025.66, 1,416.09 and 633.26

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Solution

The fourth proportional to 1,025.66, 1,416.09 and 633.26 is: 874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.66 : 1,416.09 = 633.26 : x
  2. Step 2: Convert to fraction form
    1,025.66/1,416.09 = 633.26/x
  3. Step 3: Cross multiply
    1,025.66x = 1,416.09 × 633.26
  4. Step 4: Simplify right side
    1,025.66x = 896,753.15
  5. Step 5: Solve for x
    x = 896,753.15/1,025.66
  6. Step 6: Final answer
    x = 874.32

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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.