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Finding the Fourth Proportional to 783.42, 1,080.64 and 517.86

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Solution

The fourth proportional to 783.42, 1,080.64 and 517.86 is: 714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.42 : 1,080.64 = 517.86 : x
  2. Step 2: Convert to fraction form
    783.42/1,080.64 = 517.86/x
  3. Step 3: Cross multiply
    783.42x = 1,080.64 × 517.86
  4. Step 4: Simplify right side
    783.42x = 559,620.23
  5. Step 5: Solve for x
    x = 559,620.23/783.42
  6. Step 6: Final answer
    x = 714.33

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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.