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Finding the Fourth Proportional to 1,029.42, 1,419.87 and 636.63

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Solution

The fourth proportional to 1,029.42, 1,419.87 and 636.63 is: 878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.42 : 1,419.87 = 636.63 : x
  2. Step 2: Convert to fraction form
    1,029.42/1,419.87 = 636.63/x
  3. Step 3: Cross multiply
    1,029.42x = 1,419.87 × 636.63
  4. Step 4: Simplify right side
    1,029.42x = 903,931.84
  5. Step 5: Solve for x
    x = 903,931.84/1,029.42
  6. Step 6: Final answer
    x = 878.10

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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.