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Finding the Fourth Proportional to 1,057.50, 1,459.35 and 591.75

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Solution

The fourth proportional to 1,057.50, 1,459.35 and 591.75 is: 816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.50 : 1,459.35 = 591.75 : x
  2. Step 2: Convert to fraction form
    1,057.50/1,459.35 = 591.75/x
  3. Step 3: Cross multiply
    1,057.50x = 1,459.35 × 591.75
  4. Step 4: Simplify right side
    1,057.50x = 863,570.36
  5. Step 5: Solve for x
    x = 863,570.36/1,057.50
  6. Step 6: Final answer
    x = 816.62

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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.