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Finding the Fourth Proportional to 1,048.11, 1,572.89 and 535.47

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Solution

The fourth proportional to 1,048.11, 1,572.89 and 535.47 is: 803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.11 : 1,572.89 = 535.47 : x
  2. Step 2: Convert to fraction form
    1,048.11/1,572.89 = 535.47/x
  3. Step 3: Cross multiply
    1,048.11x = 1,572.89 × 535.47
  4. Step 4: Simplify right side
    1,048.11x = 842,232.73
  5. Step 5: Solve for x
    x = 842,232.73/1,048.11
  6. Step 6: Final answer
    x = 803.57

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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.