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Finding the Fourth Proportional to 1,095.78, 1,649.84 and 966.58

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Solution

The fourth proportional to 1,095.78, 1,649.84 and 966.58 is: 1,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.78 : 1,649.84 = 966.58 : x
  2. Step 2: Convert to fraction form
    1,095.78/1,649.84 = 966.58/x
  3. Step 3: Cross multiply
    1,095.78x = 1,649.84 × 966.58
  4. Step 4: Simplify right side
    1,095.78x = 1,594,702.35
  5. Step 5: Solve for x
    x = 1,594,702.35/1,095.78
  6. Step 6: Final answer
    x = 1,455.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.