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Finding the Fourth Proportional to 1,282.65, 1,920.24 and 975.75

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Solution

The fourth proportional to 1,282.65, 1,920.24 and 975.75 is: 1,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.65 : 1,920.24 = 975.75 : x
  2. Step 2: Convert to fraction form
    1,282.65/1,920.24 = 975.75/x
  3. Step 3: Cross multiply
    1,282.65x = 1,920.24 × 975.75
  4. Step 4: Simplify right side
    1,282.65x = 1,873,674.18
  5. Step 5: Solve for x
    x = 1,873,674.18/1,282.65
  6. Step 6: Final answer
    x = 1,460.78

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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.