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Finding the Fourth Proportional to 1,057.24, 1,459.31 and 615.32

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Solution

The fourth proportional to 1,057.24, 1,459.31 and 615.32 is: 849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.24 : 1,459.31 = 615.32 : x
  2. Step 2: Convert to fraction form
    1,057.24/1,459.31 = 615.32/x
  3. Step 3: Cross multiply
    1,057.24x = 1,459.31 × 615.32
  4. Step 4: Simplify right side
    1,057.24x = 897,942.63
  5. Step 5: Solve for x
    x = 897,942.63/1,057.24
  6. Step 6: Final answer
    x = 849.33

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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.