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Finding the Fourth Proportional to 851.64, 1,175.16 and 497.56

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Solution

The fourth proportional to 851.64, 1,175.16 and 497.56 is: 686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.64 : 1,175.16 = 497.56 : x
  2. Step 2: Convert to fraction form
    851.64/1,175.16 = 497.56/x
  3. Step 3: Cross multiply
    851.64x = 1,175.16 × 497.56
  4. Step 4: Simplify right side
    851.64x = 584,712.61
  5. Step 5: Solve for x
    x = 584,712.61/851.64
  6. Step 6: Final answer
    x = 686.57

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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.