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Finding the Fourth Proportional to 1,257.04, 1,734.72 and 705.04

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Solution

The fourth proportional to 1,257.04, 1,734.72 and 705.04 is: 972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.04 : 1,734.72 = 705.04 : x
  2. Step 2: Convert to fraction form
    1,257.04/1,734.72 = 705.04/x
  3. Step 3: Cross multiply
    1,257.04x = 1,734.72 × 705.04
  4. Step 4: Simplify right side
    1,257.04x = 1,223,046.99
  5. Step 5: Solve for x
    x = 1,223,046.99/1,257.04
  6. Step 6: Final answer
    x = 972.96

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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.