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Finding the Fourth Proportional to 1,182.94, 1,771.71 and 567.08

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Solution

The fourth proportional to 1,182.94, 1,771.71 and 567.08 is: 849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.94 : 1,771.71 = 567.08 : x
  2. Step 2: Convert to fraction form
    1,182.94/1,771.71 = 567.08/x
  3. Step 3: Cross multiply
    1,182.94x = 1,771.71 × 567.08
  4. Step 4: Simplify right side
    1,182.94x = 1,004,710.12
  5. Step 5: Solve for x
    x = 1,004,710.12/1,182.94
  6. Step 6: Final answer
    x = 849.33

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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.