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Finding the Fourth Proportional to 1,257, 1,734.68 and 733.40

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Solution

The fourth proportional to 1,257, 1,734.68 and 733.40 is: 1,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257 : 1,734.68 = 733.40 : x
  2. Step 2: Convert to fraction form
    1,257/1,734.68 = 733.40/x
  3. Step 3: Cross multiply
    1,257x = 1,734.68 × 733.40
  4. Step 4: Simplify right side
    1,257x = 1,272,214.31
  5. Step 5: Solve for x
    x = 1,272,214.31/1,257
  6. Step 6: Final answer
    x = 1,012.10

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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.