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Finding the Fourth Proportional to 1,039.84, 1,434.17 and 707.67

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Solution

The fourth proportional to 1,039.84, 1,434.17 and 707.67 is: 976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.84 : 1,434.17 = 707.67 : x
  2. Step 2: Convert to fraction form
    1,039.84/1,434.17 = 707.67/x
  3. Step 3: Cross multiply
    1,039.84x = 1,434.17 × 707.67
  4. Step 4: Simplify right side
    1,039.84x = 1,014,920.85
  5. Step 5: Solve for x
    x = 1,014,920.85/1,039.84
  6. Step 6: Final answer
    x = 976.04

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