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Finding the Fourth Proportional to 755.79, 1,132.29 and 524.16

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Solution

The fourth proportional to 755.79, 1,132.29 and 524.16 is: 785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.79 : 1,132.29 = 524.16 : x
  2. Step 2: Convert to fraction form
    755.79/1,132.29 = 524.16/x
  3. Step 3: Cross multiply
    755.79x = 1,132.29 × 524.16
  4. Step 4: Simplify right side
    755.79x = 593,501.13
  5. Step 5: Solve for x
    x = 593,501.13/755.79
  6. Step 6: Final answer
    x = 785.27

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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.