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Finding the Fourth Proportional to 1,124.51, 1,552.25 and 966.51

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Solution

The fourth proportional to 1,124.51, 1,552.25 and 966.51 is: 1,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.51 : 1,552.25 = 966.51 : x
  2. Step 2: Convert to fraction form
    1,124.51/1,552.25 = 966.51/x
  3. Step 3: Cross multiply
    1,124.51x = 1,552.25 × 966.51
  4. Step 4: Simplify right side
    1,124.51x = 1,500,260.31
  5. Step 5: Solve for x
    x = 1,500,260.31/1,124.51
  6. Step 6: Final answer
    x = 1,334.15

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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.