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Finding the Fourth Proportional to 1,282.62, 1,923.85 and 761.00

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Solution

The fourth proportional to 1,282.62, 1,923.85 and 761.00 is: 1,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.62 : 1,923.85 = 761.00 : x
  2. Step 2: Convert to fraction form
    1,282.62/1,923.85 = 761.00/x
  3. Step 3: Cross multiply
    1,282.62x = 1,923.85 × 761.00
  4. Step 4: Simplify right side
    1,282.62x = 1,464,041.18
  5. Step 5: Solve for x
    x = 1,464,041.18/1,282.62
  6. Step 6: Final answer
    x = 1,141.45

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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.