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Finding the Fourth Proportional to 707.99, 1,062.13 and 275.14

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Solution

The fourth proportional to 707.99, 1,062.13 and 275.14 is: 412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.99 : 1,062.13 = 275.14 : x
  2. Step 2: Convert to fraction form
    707.99/1,062.13 = 275.14/x
  3. Step 3: Cross multiply
    707.99x = 1,062.13 × 275.14
  4. Step 4: Simplify right side
    707.99x = 292,234.45
  5. Step 5: Solve for x
    x = 292,234.45/707.99
  6. Step 6: Final answer
    x = 412.77

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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.