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Finding the Fourth Proportional to 1,026.14, 1,415.08 and 671.95

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Solution

The fourth proportional to 1,026.14, 1,415.08 and 671.95 is: 926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.14 : 1,415.08 = 671.95 : x
  2. Step 2: Convert to fraction form
    1,026.14/1,415.08 = 671.95/x
  3. Step 3: Cross multiply
    1,026.14x = 1,415.08 × 671.95
  4. Step 4: Simplify right side
    1,026.14x = 950,863.01
  5. Step 5: Solve for x
    x = 950,863.01/1,026.14
  6. Step 6: Final answer
    x = 926.64

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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.