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Finding the Fourth Proportional to 1,096.60, 1,513.32 and 599.26

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Solution

The fourth proportional to 1,096.60, 1,513.32 and 599.26 is: 826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.60 : 1,513.32 = 599.26 : x
  2. Step 2: Convert to fraction form
    1,096.60/1,513.32 = 599.26/x
  3. Step 3: Cross multiply
    1,096.60x = 1,513.32 × 599.26
  4. Step 4: Simplify right side
    1,096.60x = 906,864.58
  5. Step 5: Solve for x
    x = 906,864.58/1,096.60
  6. Step 6: Final answer
    x = 826.98

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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.