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Finding the Fourth Proportional to 765.72, 1,056.06 and 503.64

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Solution

The fourth proportional to 765.72, 1,056.06 and 503.64 is: 694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.72 : 1,056.06 = 503.64 : x
  2. Step 2: Convert to fraction form
    765.72/1,056.06 = 503.64/x
  3. Step 3: Cross multiply
    765.72x = 1,056.06 × 503.64
  4. Step 4: Simplify right side
    765.72x = 531,874.06
  5. Step 5: Solve for x
    x = 531,874.06/765.72
  6. Step 6: Final answer
    x = 694.61

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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.