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Finding the Fourth Proportional to 1,133.93, 1,700.93 and 548.84

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Solution

The fourth proportional to 1,133.93, 1,700.93 and 548.84 is: 823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.93 : 1,700.93 = 548.84 : x
  2. Step 2: Convert to fraction form
    1,133.93/1,700.93 = 548.84/x
  3. Step 3: Cross multiply
    1,133.93x = 1,700.93 × 548.84
  4. Step 4: Simplify right side
    1,133.93x = 933,544.05
  5. Step 5: Solve for x
    x = 933,544.05/1,133.93
  6. Step 6: Final answer
    x = 823.28

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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.