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Finding the Fourth Proportional to 1,057.59, 1,459.37 and 659.82

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Solution

The fourth proportional to 1,057.59, 1,459.37 and 659.82 is: 910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.59 : 1,459.37 = 659.82 : x
  2. Step 2: Convert to fraction form
    1,057.59/1,459.37 = 659.82/x
  3. Step 3: Cross multiply
    1,057.59x = 1,459.37 × 659.82
  4. Step 4: Simplify right side
    1,057.59x = 962,923.16
  5. Step 5: Solve for x
    x = 962,923.16/1,057.59
  6. Step 6: Final answer
    x = 910.49

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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.