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Finding the Fourth Proportional to 1,733.71, 2,601.74 and 638.95

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Solution

The fourth proportional to 1,733.71, 2,601.74 and 638.95 is: 958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.71 : 2,601.74 = 638.95 : x
  2. Step 2: Convert to fraction form
    1,733.71/2,601.74 = 638.95/x
  3. Step 3: Cross multiply
    1,733.71x = 2,601.74 × 638.95
  4. Step 4: Simplify right side
    1,733.71x = 1,662,381.77
  5. Step 5: Solve for x
    x = 1,662,381.77/1,733.71
  6. Step 6: Final answer
    x = 958.86

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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.