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Finding the Fourth Proportional to 670.77, 1,006.14 and 465.12

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Solution

The fourth proportional to 670.77, 1,006.14 and 465.12 is: 697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.77 : 1,006.14 = 465.12 : x
  2. Step 2: Convert to fraction form
    670.77/1,006.14 = 465.12/x
  3. Step 3: Cross multiply
    670.77x = 1,006.14 × 465.12
  4. Step 4: Simplify right side
    670.77x = 467,975.84
  5. Step 5: Solve for x
    x = 467,975.84/670.77
  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.