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Finding the Fourth Proportional to 941.52, 1,298.82 and 661.20

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Solution

The fourth proportional to 941.52, 1,298.82 and 661.20 is: 912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.52 : 1,298.82 = 661.20 : x
  2. Step 2: Convert to fraction form
    941.52/1,298.82 = 661.20/x
  3. Step 3: Cross multiply
    941.52x = 1,298.82 × 661.20
  4. Step 4: Simplify right side
    941.52x = 858,779.78
  5. Step 5: Solve for x
    x = 858,779.78/941.52
  6. Step 6: Final answer
    x = 912.12

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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.