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Finding the Fourth Proportional to 929.12, 1,391.52 and 544.64

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Solution

The fourth proportional to 929.12, 1,391.52 and 544.64 is: 815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.12 : 1,391.52 = 544.64 : x
  2. Step 2: Convert to fraction form
    929.12/1,391.52 = 544.64/x
  3. Step 3: Cross multiply
    929.12x = 1,391.52 × 544.64
  4. Step 4: Simplify right side
    929.12x = 757,877.45
  5. Step 5: Solve for x
    x = 757,877.45/929.12
  6. Step 6: Final answer
    x = 815.69

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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.