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Finding the Fourth Proportional to 1,264.51, 1,744.86 and 766.90

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Solution

The fourth proportional to 1,264.51, 1,744.86 and 766.90 is: 1,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.51 : 1,744.86 = 766.90 : x
  2. Step 2: Convert to fraction form
    1,264.51/1,744.86 = 766.90/x
  3. Step 3: Cross multiply
    1,264.51x = 1,744.86 × 766.90
  4. Step 4: Simplify right side
    1,264.51x = 1,338,133.13
  5. Step 5: Solve for x
    x = 1,338,133.13/1,264.51
  6. Step 6: Final answer
    x = 1,058.22

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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.