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Finding the Fourth Proportional to 1,156.29, 1,734.83 and 669.07

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Solution

The fourth proportional to 1,156.29, 1,734.83 and 669.07 is: 1,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.29 : 1,734.83 = 669.07 : x
  2. Step 2: Convert to fraction form
    1,156.29/1,734.83 = 669.07/x
  3. Step 3: Cross multiply
    1,156.29x = 1,734.83 × 669.07
  4. Step 4: Simplify right side
    1,156.29x = 1,160,722.71
  5. Step 5: Solve for x
    x = 1,160,722.71/1,156.29
  6. Step 6: Final answer
    x = 1,003.83

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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.