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Finding the Fourth Proportional to 1,057.84, 1,459.46 and 638.03

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Solution

The fourth proportional to 1,057.84, 1,459.46 and 638.03 is: 880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.84 : 1,459.46 = 638.03 : x
  2. Step 2: Convert to fraction form
    1,057.84/1,459.46 = 638.03/x
  3. Step 3: Cross multiply
    1,057.84x = 1,459.46 × 638.03
  4. Step 4: Simplify right side
    1,057.84x = 931,176.07
  5. Step 5: Solve for x
    x = 931,176.07/1,057.84
  6. Step 6: Final answer
    x = 880.27

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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.