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Finding the Fourth Proportional to 746.47, 1,029 and 525.07

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Solution

The fourth proportional to 746.47, 1,029 and 525.07 is: 723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.47 : 1,029 = 525.07 : x
  2. Step 2: Convert to fraction form
    746.47/1,029 = 525.07/x
  3. Step 3: Cross multiply
    746.47x = 1,029 × 525.07
  4. Step 4: Simplify right side
    746.47x = 540,297.03
  5. Step 5: Solve for x
    x = 540,297.03/746.47
  6. Step 6: Final answer
    x = 723.80

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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.