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Finding the Fourth Proportional to 851.36, 1,174.80 and 497.24

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Solution

The fourth proportional to 851.36, 1,174.80 and 497.24 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.36 : 1,174.80 = 497.24 : x
  2. Step 2: Convert to fraction form
    851.36/1,174.80 = 497.24/x
  3. Step 3: Cross multiply
    851.36x = 1,174.80 × 497.24
  4. Step 4: Simplify right side
    851.36x = 584,157.55
  5. Step 5: Solve for x
    x = 584,157.55/851.36
  6. Step 6: Final answer
    x = 686.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.