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Finding the Fourth Proportional to 1,207.05, 1,666.13 and 709.67

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Solution

The fourth proportional to 1,207.05, 1,666.13 and 709.67 is: 979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.05 : 1,666.13 = 709.67 : x
  2. Step 2: Convert to fraction form
    1,207.05/1,666.13 = 709.67/x
  3. Step 3: Cross multiply
    1,207.05x = 1,666.13 × 709.67
  4. Step 4: Simplify right side
    1,207.05x = 1,182,390.60
  5. Step 5: Solve for x
    x = 1,182,390.60/1,207.05
  6. Step 6: Final answer
    x = 979.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.