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Finding the Fourth Proportional to 1,028.16, 1,419.54 and 635.76

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Solution

The fourth proportional to 1,028.16, 1,419.54 and 635.76 is: 877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.16 : 1,419.54 = 635.76 : x
  2. Step 2: Convert to fraction form
    1,028.16/1,419.54 = 635.76/x
  3. Step 3: Cross multiply
    1,028.16x = 1,419.54 × 635.76
  4. Step 4: Simplify right side
    1,028.16x = 902,486.75
  5. Step 5: Solve for x
    x = 902,486.75/1,028.16
  6. Step 6: Final answer
    x = 877.77

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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.