Home / 1,057.20-1,458.90-664.32

Finding the Fourth Proportional to 1,057.20, 1,458.90 and 664.32

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Solution

The fourth proportional to 1,057.20, 1,458.90 and 664.32 is: 916.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.20 : 1,458.90 = 664.32 : x
  2. Step 2: Convert to fraction form
    1,057.20/1,458.90 = 664.32/x
  3. Step 3: Cross multiply
    1,057.20x = 1,458.90 × 664.32
  4. Step 4: Simplify right side
    1,057.20x = 969,176.45
  5. Step 5: Solve for x
    x = 969,176.45/1,057.20
  6. Step 6: Final answer
    x = 916.74

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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.