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Finding the Fourth Proportional to 1,397.58, 1,928.70 and 955.68

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Solution

The fourth proportional to 1,397.58, 1,928.70 and 955.68 is: 1,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.58 : 1,928.70 = 955.68 : x
  2. Step 2: Convert to fraction form
    1,397.58/1,928.70 = 955.68/x
  3. Step 3: Cross multiply
    1,397.58x = 1,928.70 × 955.68
  4. Step 4: Simplify right side
    1,397.58x = 1,843,220.02
  5. Step 5: Solve for x
    x = 1,843,220.02/1,397.58
  6. Step 6: Final answer
    x = 1,318.87

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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.