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Finding the Fourth Proportional to 1,746.71, 2,619.53 and 635.98

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Solution

The fourth proportional to 1,746.71, 2,619.53 and 635.98 is: 953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.71 : 2,619.53 = 635.98 : x
  2. Step 2: Convert to fraction form
    1,746.71/2,619.53 = 635.98/x
  3. Step 3: Cross multiply
    1,746.71x = 2,619.53 × 635.98
  4. Step 4: Simplify right side
    1,746.71x = 1,665,968.69
  5. Step 5: Solve for x
    x = 1,665,968.69/1,746.71
  6. Step 6: Final answer
    x = 953.78

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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.