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Finding the Fourth Proportional to 1,057.88, 1,459.82 and 585.77

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Solution

The fourth proportional to 1,057.88, 1,459.82 and 585.77 is: 808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.88 : 1,459.82 = 585.77 : x
  2. Step 2: Convert to fraction form
    1,057.88/1,459.82 = 585.77/x
  3. Step 3: Cross multiply
    1,057.88x = 1,459.82 × 585.77
  4. Step 4: Simplify right side
    1,057.88x = 855,112.93
  5. Step 5: Solve for x
    x = 855,112.93/1,057.88
  6. Step 6: Final answer
    x = 808.33

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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.