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Finding the Fourth Proportional to 1,160.98, 1,742.16 and 511.78

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Solution

The fourth proportional to 1,160.98, 1,742.16 and 511.78 is: 767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.98 : 1,742.16 = 511.78 : x
  2. Step 2: Convert to fraction form
    1,160.98/1,742.16 = 511.78/x
  3. Step 3: Cross multiply
    1,160.98x = 1,742.16 × 511.78
  4. Step 4: Simplify right side
    1,160.98x = 891,602.64
  5. Step 5: Solve for x
    x = 891,602.64/1,160.98
  6. Step 6: Final answer
    x = 767.97

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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.