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Finding the Fourth Proportional to 1,057.92, 1,459.94 and 585.83

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Solution

The fourth proportional to 1,057.92, 1,459.94 and 585.83 is: 808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.92 : 1,459.94 = 585.83 : x
  2. Step 2: Convert to fraction form
    1,057.92/1,459.94 = 585.83/x
  3. Step 3: Cross multiply
    1,057.92x = 1,459.94 × 585.83
  4. Step 4: Simplify right side
    1,057.92x = 855,283.40
  5. Step 5: Solve for x
    x = 855,283.40/1,057.92
  6. Step 6: Final answer
    x = 808.45

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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.