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Finding the Fourth Proportional to 818.64, 1,128.96 and 524.16

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Solution

The fourth proportional to 818.64, 1,128.96 and 524.16 is: 722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.64 : 1,128.96 = 524.16 : x
  2. Step 2: Convert to fraction form
    818.64/1,128.96 = 524.16/x
  3. Step 3: Cross multiply
    818.64x = 1,128.96 × 524.16
  4. Step 4: Simplify right side
    818.64x = 591,755.67
  5. Step 5: Solve for x
    x = 591,755.67/818.64
  6. Step 6: Final answer
    x = 722.85

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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.