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Finding the Fourth Proportional to 709.68, 1,064.51 and 514.77

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Solution

The fourth proportional to 709.68, 1,064.51 and 514.77 is: 772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.68 : 1,064.51 = 514.77 : x
  2. Step 2: Convert to fraction form
    709.68/1,064.51 = 514.77/x
  3. Step 3: Cross multiply
    709.68x = 1,064.51 × 514.77
  4. Step 4: Simplify right side
    709.68x = 547,975.24
  5. Step 5: Solve for x
    x = 547,975.24/709.68
  6. Step 6: Final answer
    x = 772.14

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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.