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Finding the Fourth Proportional to 765.98, 1,056.18 and 503.84

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Solution

The fourth proportional to 765.98, 1,056.18 and 503.84 is: 694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.98 : 1,056.18 = 503.84 : x
  2. Step 2: Convert to fraction form
    765.98/1,056.18 = 503.84/x
  3. Step 3: Cross multiply
    765.98x = 1,056.18 × 503.84
  4. Step 4: Simplify right side
    765.98x = 532,145.73
  5. Step 5: Solve for x
    x = 532,145.73/765.98
  6. Step 6: Final answer
    x = 694.73

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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.