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Finding the Fourth Proportional to 1,184.60, 1,777.16 and 568.12

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Solution

The fourth proportional to 1,184.60, 1,777.16 and 568.12 is: 852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.60 : 1,777.16 = 568.12 : x
  2. Step 2: Convert to fraction form
    1,184.60/1,777.16 = 568.12/x
  3. Step 3: Cross multiply
    1,184.60x = 1,777.16 × 568.12
  4. Step 4: Simplify right side
    1,184.60x = 1,009,640.14
  5. Step 5: Solve for x
    x = 1,009,640.14/1,184.60
  6. Step 6: Final answer
    x = 852.30

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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.