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Finding the Fourth Proportional to 907.39, 1,358.25 and 646.57

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Solution

The fourth proportional to 907.39, 1,358.25 and 646.57 is: 967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.39 : 1,358.25 = 646.57 : x
  2. Step 2: Convert to fraction form
    907.39/1,358.25 = 646.57/x
  3. Step 3: Cross multiply
    907.39x = 1,358.25 × 646.57
  4. Step 4: Simplify right side
    907.39x = 878,203.70
  5. Step 5: Solve for x
    x = 878,203.70/907.39
  6. Step 6: Final answer
    x = 967.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.