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Finding the Fourth Proportional to 1,257.24, 1,734.54 and 705.24

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Solution

The fourth proportional to 1,257.24, 1,734.54 and 705.24 is: 972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.24 : 1,734.54 = 705.24 : x
  2. Step 2: Convert to fraction form
    1,257.24/1,734.54 = 705.24/x
  3. Step 3: Cross multiply
    1,257.24x = 1,734.54 × 705.24
  4. Step 4: Simplify right side
    1,257.24x = 1,223,266.99
  5. Step 5: Solve for x
    x = 1,223,266.99/1,257.24
  6. Step 6: Final answer
    x = 972.98

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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.