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Finding the Fourth Proportional to 1,057.82, 1,459.80 and 585.68

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Solution

The fourth proportional to 1,057.82, 1,459.80 and 585.68 is: 808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.82 : 1,459.80 = 585.68 : x
  2. Step 2: Convert to fraction form
    1,057.82/1,459.80 = 585.68/x
  3. Step 3: Cross multiply
    1,057.82x = 1,459.80 × 585.68
  4. Step 4: Simplify right side
    1,057.82x = 854,968.37
  5. Step 5: Solve for x
    x = 854,968.37/1,057.82
  6. Step 6: Final answer
    x = 808.24

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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.