Home / 1,057.46-1,459.28-585.36

Finding the Fourth Proportional to 1,057.46, 1,459.28 and 585.36

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Solution

The fourth proportional to 1,057.46, 1,459.28 and 585.36 is: 807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.46 : 1,459.28 = 585.36 : x
  2. Step 2: Convert to fraction form
    1,057.46/1,459.28 = 585.36/x
  3. Step 3: Cross multiply
    1,057.46x = 1,459.28 × 585.36
  4. Step 4: Simplify right side
    1,057.46x = 854,205.60
  5. Step 5: Solve for x
    x = 854,205.60/1,057.46
  6. Step 6: Final answer
    x = 807.79

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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.