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Finding the Fourth Proportional to 1,057.29, 1,459.19 and 591.45

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Solution

The fourth proportional to 1,057.29, 1,459.19 and 591.45 is: 816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.29 : 1,459.19 = 591.45 : x
  2. Step 2: Convert to fraction form
    1,057.29/1,459.19 = 591.45/x
  3. Step 3: Cross multiply
    1,057.29x = 1,459.19 × 591.45
  4. Step 4: Simplify right side
    1,057.29x = 863,037.93
  5. Step 5: Solve for x
    x = 863,037.93/1,057.29
  6. Step 6: Final answer
    x = 816.27

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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.