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Finding the Fourth Proportional to 1,095.14, 1,648.88 and 965.94

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Solution

The fourth proportional to 1,095.14, 1,648.88 and 965.94 is: 1,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.14 : 1,648.88 = 965.94 : x
  2. Step 2: Convert to fraction form
    1,095.14/1,648.88 = 965.94/x
  3. Step 3: Cross multiply
    1,095.14x = 1,648.88 × 965.94
  4. Step 4: Simplify right side
    1,095.14x = 1,592,714.32
  5. Step 5: Solve for x
    x = 1,592,714.32/1,095.14
  6. Step 6: Final answer
    x = 1,454.35

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