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Finding the Fourth Proportional to 780.39, 1,175.94 and 646.44

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Solution

The fourth proportional to 780.39, 1,175.94 and 646.44 is: 974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.39 : 1,175.94 = 646.44 : x
  2. Step 2: Convert to fraction form
    780.39/1,175.94 = 646.44/x
  3. Step 3: Cross multiply
    780.39x = 1,175.94 × 646.44
  4. Step 4: Simplify right side
    780.39x = 760,174.65
  5. Step 5: Solve for x
    x = 760,174.65/780.39
  6. Step 6: Final answer
    x = 974.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.