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Finding the Fourth Proportional to 759.86, 1,133.86 and 678.14

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Solution

The fourth proportional to 759.86, 1,133.86 and 678.14 is: 1,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.86 : 1,133.86 = 678.14 : x
  2. Step 2: Convert to fraction form
    759.86/1,133.86 = 678.14/x
  3. Step 3: Cross multiply
    759.86x = 1,133.86 × 678.14
  4. Step 4: Simplify right side
    759.86x = 768,915.82
  5. Step 5: Solve for x
    x = 768,915.82/759.86
  6. Step 6: Final answer
    x = 1,011.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.