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Finding the Fourth Proportional to 851.24, 1,174.88 and 497.21

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Solution

The fourth proportional to 851.24, 1,174.88 and 497.21 is: 686.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.24 : 1,174.88 = 497.21 : x
  2. Step 2: Convert to fraction form
    851.24/1,174.88 = 497.21/x
  3. Step 3: Cross multiply
    851.24x = 1,174.88 × 497.21
  4. Step 4: Simplify right side
    851.24x = 584,153.72
  5. Step 5: Solve for x
    x = 584,153.72/851.24
  6. Step 6: Final answer
    x = 686.24

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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.