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Finding the Fourth Proportional to 846.95, 1,169.17 and 567.59

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Solution

The fourth proportional to 846.95, 1,169.17 and 567.59 is: 783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.95 : 1,169.17 = 567.59 : x
  2. Step 2: Convert to fraction form
    846.95/1,169.17 = 567.59/x
  3. Step 3: Cross multiply
    846.95x = 1,169.17 × 567.59
  4. Step 4: Simplify right side
    846.95x = 663,601.94
  5. Step 5: Solve for x
    x = 663,601.94/846.95
  6. Step 6: Final answer
    x = 783.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.