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Finding the Fourth Proportional to 971.82, 1,341.40 and 661.50

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Solution

The fourth proportional to 971.82, 1,341.40 and 661.50 is: 913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.82 : 1,341.40 = 661.50 : x
  2. Step 2: Convert to fraction form
    971.82/1,341.40 = 661.50/x
  3. Step 3: Cross multiply
    971.82x = 1,341.40 × 661.50
  4. Step 4: Simplify right side
    971.82x = 887,336.10
  5. Step 5: Solve for x
    x = 887,336.10/971.82
  6. Step 6: Final answer
    x = 913.07

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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.