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Finding the Fourth Proportional to 734.04, 1,106.21 and 687.90

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Solution

The fourth proportional to 734.04, 1,106.21 and 687.90 is: 1,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.04 : 1,106.21 = 687.90 : x
  2. Step 2: Convert to fraction form
    734.04/1,106.21 = 687.90/x
  3. Step 3: Cross multiply
    734.04x = 1,106.21 × 687.90
  4. Step 4: Simplify right side
    734.04x = 760,958.42
  5. Step 5: Solve for x
    x = 760,958.42/734.04
  6. Step 6: Final answer
    x = 1,036.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.