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Finding the Fourth Proportional to 774.33, 1,160.68 and 530.79

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Solution

The fourth proportional to 774.33, 1,160.68 and 530.79 is: 795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.33 : 1,160.68 = 530.79 : x
  2. Step 2: Convert to fraction form
    774.33/1,160.68 = 530.79/x
  3. Step 3: Cross multiply
    774.33x = 1,160.68 × 530.79
  4. Step 4: Simplify right side
    774.33x = 616,077.34
  5. Step 5: Solve for x
    x = 616,077.34/774.33
  6. Step 6: Final answer
    x = 795.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.