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Finding the Fourth Proportional to 745.84, 1,029.18 and 512.92

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Solution

The fourth proportional to 745.84, 1,029.18 and 512.92 is: 707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.84 : 1,029.18 = 512.92 : x
  2. Step 2: Convert to fraction form
    745.84/1,029.18 = 512.92/x
  3. Step 3: Cross multiply
    745.84x = 1,029.18 × 512.92
  4. Step 4: Simplify right side
    745.84x = 527,887.01
  5. Step 5: Solve for x
    x = 527,887.01/745.84
  6. Step 6: Final answer
    x = 707.78

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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.