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Finding the Fourth Proportional to 1,746.74, 2,621.01 and 773.53

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Solution

The fourth proportional to 1,746.74, 2,621.01 and 773.53 is: 1,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.74 : 2,621.01 = 773.53 : x
  2. Step 2: Convert to fraction form
    1,746.74/2,621.01 = 773.53/x
  3. Step 3: Cross multiply
    1,746.74x = 2,621.01 × 773.53
  4. Step 4: Simplify right side
    1,746.74x = 2,027,429.87
  5. Step 5: Solve for x
    x = 2,027,429.87/1,746.74
  6. Step 6: Final answer
    x = 1,160.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.