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Finding the Fourth Proportional to 688.80, 1,030.92 and 466.14

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Solution

The fourth proportional to 688.80, 1,030.92 and 466.14 is: 697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.80 : 1,030.92 = 466.14 : x
  2. Step 2: Convert to fraction form
    688.80/1,030.92 = 466.14/x
  3. Step 3: Cross multiply
    688.80x = 1,030.92 × 466.14
  4. Step 4: Simplify right side
    688.80x = 480,553.05
  5. Step 5: Solve for x
    x = 480,553.05/688.80
  6. Step 6: Final answer
    x = 697.67

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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.