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Finding the Fourth Proportional to 789.78, 1,185.24 and 530.28

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Solution

The fourth proportional to 789.78, 1,185.24 and 530.28 is: 795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.78 : 1,185.24 = 530.28 : x
  2. Step 2: Convert to fraction form
    789.78/1,185.24 = 530.28/x
  3. Step 3: Cross multiply
    789.78x = 1,185.24 × 530.28
  4. Step 4: Simplify right side
    789.78x = 628,509.07
  5. Step 5: Solve for x
    x = 628,509.07/789.78
  6. Step 6: Final answer
    x = 795.80

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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.