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Finding the Fourth Proportional to 1,597.91, 2,205.39 and 959.66

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Solution

The fourth proportional to 1,597.91, 2,205.39 and 959.66 is: 1,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.91 : 2,205.39 = 959.66 : x
  2. Step 2: Convert to fraction form
    1,597.91/2,205.39 = 959.66/x
  3. Step 3: Cross multiply
    1,597.91x = 2,205.39 × 959.66
  4. Step 4: Simplify right side
    1,597.91x = 2,116,437.81
  5. Step 5: Solve for x
    x = 2,116,437.81/1,597.91
  6. Step 6: Final answer
    x = 1,324.50

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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.