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Finding the Fourth Proportional to 795.03, 1,096.96 and 500.69

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Solution

The fourth proportional to 795.03, 1,096.96 and 500.69 is: 690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.03 : 1,096.96 = 500.69 : x
  2. Step 2: Convert to fraction form
    795.03/1,096.96 = 500.69/x
  3. Step 3: Cross multiply
    795.03x = 1,096.96 × 500.69
  4. Step 4: Simplify right side
    795.03x = 549,230.17
  5. Step 5: Solve for x
    x = 549,230.17/795.03
  6. Step 6: Final answer
    x = 690.83

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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.