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Finding the Fourth Proportional to 971.51, 1,350.00 and 961.52

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Solution

The fourth proportional to 971.51, 1,350.00 and 961.52 is: 1,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.51 : 1,350.00 = 961.52 : x
  2. Step 2: Convert to fraction form
    971.51/1,350.00 = 961.52/x
  3. Step 3: Cross multiply
    971.51x = 1,350.00 × 961.52
  4. Step 4: Simplify right side
    971.51x = 1,298,047.19
  5. Step 5: Solve for x
    x = 1,298,047.19/971.51
  6. Step 6: Final answer
    x = 1,336.11

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.