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Finding the Fourth Proportional to 1,282.91, 1,770.42 and 758.93

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Solution

The fourth proportional to 1,282.91, 1,770.42 and 758.93 is: 1,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.91 : 1,770.42 = 758.93 : x
  2. Step 2: Convert to fraction form
    1,282.91/1,770.42 = 758.93/x
  3. Step 3: Cross multiply
    1,282.91x = 1,770.42 × 758.93
  4. Step 4: Simplify right side
    1,282.91x = 1,343,616.00
  5. Step 5: Solve for x
    x = 1,343,616.00/1,282.91
  6. Step 6: Final answer
    x = 1,047.32

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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.