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Finding the Fourth Proportional to 1,242.49, 1,714.99 and 711.67

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Solution

The fourth proportional to 1,242.49, 1,714.99 and 711.67 is: 982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.49 : 1,714.99 = 711.67 : x
  2. Step 2: Convert to fraction form
    1,242.49/1,714.99 = 711.67/x
  3. Step 3: Cross multiply
    1,242.49x = 1,714.99 × 711.67
  4. Step 4: Simplify right side
    1,242.49x = 1,220,506.93
  5. Step 5: Solve for x
    x = 1,220,506.93/1,242.49
  6. Step 6: Final answer
    x = 982.31

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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.