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Finding the Fourth Proportional to 1,057.47, 1,459.31 and 591.72

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Solution

The fourth proportional to 1,057.47, 1,459.31 and 591.72 is: 816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.47 : 1,459.31 = 591.72 : x
  2. Step 2: Convert to fraction form
    1,057.47/1,459.31 = 591.72/x
  3. Step 3: Cross multiply
    1,057.47x = 1,459.31 × 591.72
  4. Step 4: Simplify right side
    1,057.47x = 863,501.43
  5. Step 5: Solve for x
    x = 863,501.43/1,057.47
  6. Step 6: Final answer
    x = 816.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.