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Finding the Fourth Proportional to 1,254.06, 1,878.35 and 765.63

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Solution

The fourth proportional to 1,254.06, 1,878.35 and 765.63 is: 1,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.06 : 1,878.35 = 765.63 : x
  2. Step 2: Convert to fraction form
    1,254.06/1,878.35 = 765.63/x
  3. Step 3: Cross multiply
    1,254.06x = 1,878.35 × 765.63
  4. Step 4: Simplify right side
    1,254.06x = 1,438,121.11
  5. Step 5: Solve for x
    x = 1,438,121.11/1,254.06
  6. Step 6: Final answer
    x = 1,146.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.