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Finding the Fourth Proportional to 755.68, 1,132.28 and 524.84

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Solution

The fourth proportional to 755.68, 1,132.28 and 524.84 is: 786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.68 : 1,132.28 = 524.84 : x
  2. Step 2: Convert to fraction form
    755.68/1,132.28 = 524.84/x
  3. Step 3: Cross multiply
    755.68x = 1,132.28 × 524.84
  4. Step 4: Simplify right side
    755.68x = 594,265.84
  5. Step 5: Solve for x
    x = 594,265.84/755.68
  6. Step 6: Final answer
    x = 786.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.