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Finding the Fourth Proportional to 759.24, 1,047.06 and 497.34

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Solution

The fourth proportional to 759.24, 1,047.06 and 497.34 is: 685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.24 : 1,047.06 = 497.34 : x
  2. Step 2: Convert to fraction form
    759.24/1,047.06 = 497.34/x
  3. Step 3: Cross multiply
    759.24x = 1,047.06 × 497.34
  4. Step 4: Simplify right side
    759.24x = 520,744.82
  5. Step 5: Solve for x
    x = 520,744.82/759.24
  6. Step 6: Final answer
    x = 685.88

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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.