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Finding the Fourth Proportional to 1,035.94, 1,552.65 and 548.68

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Solution

The fourth proportional to 1,035.94, 1,552.65 and 548.68 is: 822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.94 : 1,552.65 = 548.68 : x
  2. Step 2: Convert to fraction form
    1,035.94/1,552.65 = 548.68/x
  3. Step 3: Cross multiply
    1,035.94x = 1,552.65 × 548.68
  4. Step 4: Simplify right side
    1,035.94x = 851,908.00
  5. Step 5: Solve for x
    x = 851,908.00/1,035.94
  6. Step 6: Final answer
    x = 822.35

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Why These Related Problems?

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