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Finding the Fourth Proportional to 953.18, 1,427.85 and 567.26

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Solution

The fourth proportional to 953.18, 1,427.85 and 567.26 is: 849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.18 : 1,427.85 = 567.26 : x
  2. Step 2: Convert to fraction form
    953.18/1,427.85 = 567.26/x
  3. Step 3: Cross multiply
    953.18x = 1,427.85 × 567.26
  4. Step 4: Simplify right side
    953.18x = 809,962.19
  5. Step 5: Solve for x
    x = 809,962.19/953.18
  6. Step 6: Final answer
    x = 849.75

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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.