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Finding the Fourth Proportional to 532.44, 792.72 and 525.96

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Solution

The fourth proportional to 532.44, 792.72 and 525.96 is: 783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.44 : 792.72 = 525.96 : x
  2. Step 2: Convert to fraction form
    532.44/792.72 = 525.96/x
  3. Step 3: Cross multiply
    532.44x = 792.72 × 525.96
  4. Step 4: Simplify right side
    532.44x = 416,939.01
  5. Step 5: Solve for x
    x = 416,939.01/532.44
  6. Step 6: Final answer
    x = 783.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.