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Finding the Fourth Proportional to 1,184.45, 1,775.48 and 567.95

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Solution

The fourth proportional to 1,184.45, 1,775.48 and 567.95 is: 851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.45 : 1,775.48 = 567.95 : x
  2. Step 2: Convert to fraction form
    1,184.45/1,775.48 = 567.95/x
  3. Step 3: Cross multiply
    1,184.45x = 1,775.48 × 567.95
  4. Step 4: Simplify right side
    1,184.45x = 1,008,372.15
  5. Step 5: Solve for x
    x = 1,008,372.15/1,184.45
  6. Step 6: Final answer
    x = 851.35

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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.