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Finding the Fourth Proportional to 1,057.53, 1,459.39 and 591.78

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Solution

The fourth proportional to 1,057.53, 1,459.39 and 591.78 is: 816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.53 : 1,459.39 = 591.78 : x
  2. Step 2: Convert to fraction form
    1,057.53/1,459.39 = 591.78/x
  3. Step 3: Cross multiply
    1,057.53x = 1,459.39 × 591.78
  4. Step 4: Simplify right side
    1,057.53x = 863,637.81
  5. Step 5: Solve for x
    x = 863,637.81/1,057.53
  6. Step 6: Final answer
    x = 816.66

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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.