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Finding the Fourth Proportional to 1,071.21, 1,477.85 and 672.70

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Solution

The fourth proportional to 1,071.21, 1,477.85 and 672.70 is: 928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.21 : 1,477.85 = 672.70 : x
  2. Step 2: Convert to fraction form
    1,071.21/1,477.85 = 672.70/x
  3. Step 3: Cross multiply
    1,071.21x = 1,477.85 × 672.70
  4. Step 4: Simplify right side
    1,071.21x = 994,146.33
  5. Step 5: Solve for x
    x = 994,146.33/1,071.21
  6. Step 6: Final answer
    x = 928.06

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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.