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Finding the Fourth Proportional to 1,057.50, 1,458.95 and 664.43

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Solution

The fourth proportional to 1,057.50, 1,458.95 and 664.43 is: 916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.50 : 1,458.95 = 664.43 : x
  2. Step 2: Convert to fraction form
    1,057.50/1,458.95 = 664.43/x
  3. Step 3: Cross multiply
    1,057.50x = 1,458.95 × 664.43
  4. Step 4: Simplify right side
    1,057.50x = 969,359.53
  5. Step 5: Solve for x
    x = 969,359.53/1,057.50
  6. Step 6: Final answer
    x = 916.65

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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.