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Finding the Fourth Proportional to 1,057.68, 1,459.26 and 638.19

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Solution

The fourth proportional to 1,057.68, 1,459.26 and 638.19 is: 880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.68 : 1,459.26 = 638.19 : x
  2. Step 2: Convert to fraction form
    1,057.68/1,459.26 = 638.19/x
  3. Step 3: Cross multiply
    1,057.68x = 1,459.26 × 638.19
  4. Step 4: Simplify right side
    1,057.68x = 931,285.14
  5. Step 5: Solve for x
    x = 931,285.14/1,057.68
  6. Step 6: Final answer
    x = 880.50

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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.