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Finding the Fourth Proportional to 1,057.74, 1,459.67 and 591.99

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Solution

The fourth proportional to 1,057.74, 1,459.67 and 591.99 is: 816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.74 : 1,459.67 = 591.99 : x
  2. Step 2: Convert to fraction form
    1,057.74/1,459.67 = 591.99/x
  3. Step 3: Cross multiply
    1,057.74x = 1,459.67 × 591.99
  4. Step 4: Simplify right side
    1,057.74x = 864,111.52
  5. Step 5: Solve for x
    x = 864,111.52/1,057.74
  6. Step 6: Final answer
    x = 816.94

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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.