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Finding the Fourth Proportional to 1,282.95, 1,770.47 and 693.48

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Solution

The fourth proportional to 1,282.95, 1,770.47 and 693.48 is: 957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.95 : 1,770.47 = 693.48 : x
  2. Step 2: Convert to fraction form
    1,282.95/1,770.47 = 693.48/x
  3. Step 3: Cross multiply
    1,282.95x = 1,770.47 × 693.48
  4. Step 4: Simplify right side
    1,282.95x = 1,227,785.54
  5. Step 5: Solve for x
    x = 1,227,785.54/1,282.95
  6. Step 6: Final answer
    x = 957.00

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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.