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Finding the Fourth Proportional to 1,175.18, 1,762.77 and 559.49

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Solution

The fourth proportional to 1,175.18, 1,762.77 and 559.49 is: 839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.18 : 1,762.77 = 559.49 : x
  2. Step 2: Convert to fraction form
    1,175.18/1,762.77 = 559.49/x
  3. Step 3: Cross multiply
    1,175.18x = 1,762.77 × 559.49
  4. Step 4: Simplify right side
    1,175.18x = 986,252.19
  5. Step 5: Solve for x
    x = 986,252.19/1,175.18
  6. Step 6: Final answer
    x = 839.24

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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.