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Finding the Fourth Proportional to 786.52, 1,178.52 and 569.08

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Solution

The fourth proportional to 786.52, 1,178.52 and 569.08 is: 852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.52 : 1,178.52 = 569.08 : x
  2. Step 2: Convert to fraction form
    786.52/1,178.52 = 569.08/x
  3. Step 3: Cross multiply
    786.52x = 1,178.52 × 569.08
  4. Step 4: Simplify right side
    786.52x = 670,672.16
  5. Step 5: Solve for x
    x = 670,672.16/786.52
  6. Step 6: Final answer
    x = 852.71

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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.