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Finding the Fourth Proportional to 1,734.41, 2,602.64 and 638.86

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Solution

The fourth proportional to 1,734.41, 2,602.64 and 638.86 is: 958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.41 : 2,602.64 = 638.86 : x
  2. Step 2: Convert to fraction form
    1,734.41/2,602.64 = 638.86/x
  3. Step 3: Cross multiply
    1,734.41x = 2,602.64 × 638.86
  4. Step 4: Simplify right side
    1,734.41x = 1,662,719.40
  5. Step 5: Solve for x
    x = 1,662,719.40/1,734.41
  6. Step 6: Final answer
    x = 958.67

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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.