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Finding the Fourth Proportional to 1,767.57, 2,651.16 and 469.14

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Solution

The fourth proportional to 1,767.57, 2,651.16 and 469.14 is: 703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.57 : 2,651.16 = 469.14 : x
  2. Step 2: Convert to fraction form
    1,767.57/2,651.16 = 469.14/x
  3. Step 3: Cross multiply
    1,767.57x = 2,651.16 × 469.14
  4. Step 4: Simplify right side
    1,767.57x = 1,243,765.20
  5. Step 5: Solve for x
    x = 1,243,765.20/1,767.57
  6. Step 6: Final answer
    x = 703.66

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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.