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Finding the Fourth Proportional to 1,167.36, 1,751.57 and 436.99

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Solution

The fourth proportional to 1,167.36, 1,751.57 and 436.99 is: 655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.36 : 1,751.57 = 436.99 : x
  2. Step 2: Convert to fraction form
    1,167.36/1,751.57 = 436.99/x
  3. Step 3: Cross multiply
    1,167.36x = 1,751.57 × 436.99
  4. Step 4: Simplify right side
    1,167.36x = 765,417.21
  5. Step 5: Solve for x
    x = 765,417.21/1,167.36
  6. Step 6: Final answer
    x = 655.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.