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Finding the Fourth Proportional to 1,295.53, 1,787.85 and 706.10

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Solution

The fourth proportional to 1,295.53, 1,787.85 and 706.10 is: 974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.53 : 1,787.85 = 706.10 : x
  2. Step 2: Convert to fraction form
    1,295.53/1,787.85 = 706.10/x
  3. Step 3: Cross multiply
    1,295.53x = 1,787.85 × 706.10
  4. Step 4: Simplify right side
    1,295.53x = 1,262,391.95
  5. Step 5: Solve for x
    x = 1,262,391.95/1,295.53
  6. Step 6: Final answer
    x = 974.42

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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.