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Finding the Fourth Proportional to 1,295.60, 1,787.94 and 706.14

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Solution

The fourth proportional to 1,295.60, 1,787.94 and 706.14 is: 974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.60 : 1,787.94 = 706.14 : x
  2. Step 2: Convert to fraction form
    1,295.60/1,787.94 = 706.14/x
  3. Step 3: Cross multiply
    1,295.60x = 1,787.94 × 706.14
  4. Step 4: Simplify right side
    1,295.60x = 1,262,535.95
  5. Step 5: Solve for x
    x = 1,262,535.95/1,295.60
  6. Step 6: Final answer
    x = 974.48

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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.