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Finding the Fourth Proportional to 1,057.86, 1,459.62 and 664.20

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Solution

The fourth proportional to 1,057.86, 1,459.62 and 664.20 is: 916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.86 : 1,459.62 = 664.20 : x
  2. Step 2: Convert to fraction form
    1,057.86/1,459.62 = 664.20/x
  3. Step 3: Cross multiply
    1,057.86x = 1,459.62 × 664.20
  4. Step 4: Simplify right side
    1,057.86x = 969,479.60
  5. Step 5: Solve for x
    x = 969,479.60/1,057.86
  6. Step 6: Final answer
    x = 916.45

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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.