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Finding the Fourth Proportional to 1,057.45, 1,458.80 and 615.09

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Solution

The fourth proportional to 1,057.45, 1,458.80 and 615.09 is: 848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.45 : 1,458.80 = 615.09 : x
  2. Step 2: Convert to fraction form
    1,057.45/1,458.80 = 615.09/x
  3. Step 3: Cross multiply
    1,057.45x = 1,458.80 × 615.09
  4. Step 4: Simplify right side
    1,057.45x = 897,297.13
  5. Step 5: Solve for x
    x = 897,297.13/1,057.45
  6. Step 6: Final answer
    x = 848.55

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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.