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Finding the Fourth Proportional to 1,254.69, 1,731.45 and 723.57

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Solution

The fourth proportional to 1,254.69, 1,731.45 and 723.57 is: 998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.69 : 1,731.45 = 723.57 : x
  2. Step 2: Convert to fraction form
    1,254.69/1,731.45 = 723.57/x
  3. Step 3: Cross multiply
    1,254.69x = 1,731.45 × 723.57
  4. Step 4: Simplify right side
    1,254.69x = 1,252,825.28
  5. Step 5: Solve for x
    x = 1,252,825.28/1,254.69
  6. Step 6: Final answer
    x = 998.51

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1.5x scale

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.