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Finding the Fourth Proportional to 746.49, 1,029.49 and 525.36

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Solution

The fourth proportional to 746.49, 1,029.49 and 525.36 is: 724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.49 : 1,029.49 = 525.36 : x
  2. Step 2: Convert to fraction form
    746.49/1,029.49 = 525.36/x
  3. Step 3: Cross multiply
    746.49x = 1,029.49 × 525.36
  4. Step 4: Simplify right side
    746.49x = 540,852.87
  5. Step 5: Solve for x
    x = 540,852.87/746.49
  6. Step 6: Final answer
    x = 724.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.