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Finding the Fourth Proportional to 1,049.95, 1,573.78 and 528.92

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Solution

The fourth proportional to 1,049.95, 1,573.78 and 528.92 is: 792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.95 : 1,573.78 = 528.92 : x
  2. Step 2: Convert to fraction form
    1,049.95/1,573.78 = 528.92/x
  3. Step 3: Cross multiply
    1,049.95x = 1,573.78 × 528.92
  4. Step 4: Simplify right side
    1,049.95x = 832,403.72
  5. Step 5: Solve for x
    x = 832,403.72/1,049.95
  6. Step 6: Final answer
    x = 792.80

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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.