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Finding the Fourth Proportional to 530.81, 790.75 and 514.69

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Solution

The fourth proportional to 530.81, 790.75 and 514.69 is: 766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.81 : 790.75 = 514.69 : x
  2. Step 2: Convert to fraction form
    530.81/790.75 = 514.69/x
  3. Step 3: Cross multiply
    530.81x = 790.75 × 514.69
  4. Step 4: Simplify right side
    530.81x = 406,988.54
  5. Step 5: Solve for x
    x = 406,988.54/530.81
  6. Step 6: Final answer
    x = 766.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.