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Finding the Fourth Proportional to 780.52, 1,076.76 and 532.24

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Solution

The fourth proportional to 780.52, 1,076.76 and 532.24 is: 734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.52 : 1,076.76 = 532.24 : x
  2. Step 2: Convert to fraction form
    780.52/1,076.76 = 532.24/x
  3. Step 3: Cross multiply
    780.52x = 1,076.76 × 532.24
  4. Step 4: Simplify right side
    780.52x = 573,094.74
  5. Step 5: Solve for x
    x = 573,094.74/780.52
  6. Step 6: Final answer
    x = 734.25

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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.