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Finding the Fourth Proportional to 784.46, 1,181.93 and 710.43

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Solution

The fourth proportional to 784.46, 1,181.93 and 710.43 is: 1,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.46 : 1,181.93 = 710.43 : x
  2. Step 2: Convert to fraction form
    784.46/1,181.93 = 710.43/x
  3. Step 3: Cross multiply
    784.46x = 1,181.93 × 710.43
  4. Step 4: Simplify right side
    784.46x = 839,674.98
  5. Step 5: Solve for x
    x = 839,674.98/784.46
  6. Step 6: Final answer
    x = 1,070.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.