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Finding the Fourth Proportional to 1,057.85, 1,459.94 and 585.78

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Solution

The fourth proportional to 1,057.85, 1,459.94 and 585.78 is: 808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.85 : 1,459.94 = 585.78 : x
  2. Step 2: Convert to fraction form
    1,057.85/1,459.94 = 585.78/x
  3. Step 3: Cross multiply
    1,057.85x = 1,459.94 × 585.78
  4. Step 4: Simplify right side
    1,057.85x = 855,203.65
  5. Step 5: Solve for x
    x = 855,203.65/1,057.85
  6. Step 6: Final answer
    x = 808.44

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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.