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Finding the Fourth Proportional to 1,256.68, 1,734.23 and 689.51

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Solution

The fourth proportional to 1,256.68, 1,734.23 and 689.51 is: 951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.68 : 1,734.23 = 689.51 : x
  2. Step 2: Convert to fraction form
    1,256.68/1,734.23 = 689.51/x
  3. Step 3: Cross multiply
    1,256.68x = 1,734.23 × 689.51
  4. Step 4: Simplify right side
    1,256.68x = 1,195,774.99
  5. Step 5: Solve for x
    x = 1,195,774.99/1,256.68
  6. Step 6: Final answer
    x = 951.53

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1.5x scale

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.