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Finding the Fourth Proportional to 1,292.75, 1,783.99 and 761.65

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Solution

The fourth proportional to 1,292.75, 1,783.99 and 761.65 is: 1,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.75 : 1,783.99 = 761.65 : x
  2. Step 2: Convert to fraction form
    1,292.75/1,783.99 = 761.65/x
  3. Step 3: Cross multiply
    1,292.75x = 1,783.99 × 761.65
  4. Step 4: Simplify right side
    1,292.75x = 1,358,767.06
  5. Step 5: Solve for x
    x = 1,358,767.06/1,292.75
  6. Step 6: Final answer
    x = 1,051.07

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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.