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Finding the Fourth Proportional to 759.29, 1,047.79 and 510.57

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Solution

The fourth proportional to 759.29, 1,047.79 and 510.57 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.29 : 1,047.79 = 510.57 : x
  2. Step 2: Convert to fraction form
    759.29/1,047.79 = 510.57/x
  3. Step 3: Cross multiply
    759.29x = 1,047.79 × 510.57
  4. Step 4: Simplify right side
    759.29x = 534,967.91
  5. Step 5: Solve for x
    x = 534,967.91/759.29
  6. Step 6: Final answer
    x = 704.56

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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.