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Finding the Fourth Proportional to 1,223.16, 1,687.70 and 725.96

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Solution

The fourth proportional to 1,223.16, 1,687.70 and 725.96 is: 1,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.16 : 1,687.70 = 725.96 : x
  2. Step 2: Convert to fraction form
    1,223.16/1,687.70 = 725.96/x
  3. Step 3: Cross multiply
    1,223.16x = 1,687.70 × 725.96
  4. Step 4: Simplify right side
    1,223.16x = 1,225,207.81
  5. Step 5: Solve for x
    x = 1,225,207.81/1,223.16
  6. Step 6: Final answer
    x = 1,001.67

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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.