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Finding the Fourth Proportional to 745.81, 1,029.27 and 524.84

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Solution

The fourth proportional to 745.81, 1,029.27 and 524.84 is: 724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.81 : 1,029.27 = 524.84 : x
  2. Step 2: Convert to fraction form
    745.81/1,029.27 = 524.84/x
  3. Step 3: Cross multiply
    745.81x = 1,029.27 × 524.84
  4. Step 4: Simplify right side
    745.81x = 540,196.92
  5. Step 5: Solve for x
    x = 540,196.92/745.81
  6. Step 6: Final answer
    x = 724.31

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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.