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Finding the Fourth Proportional to 1,175.74, 1,762.36 and 559.15

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Solution

The fourth proportional to 1,175.74, 1,762.36 and 559.15 is: 838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.74 : 1,762.36 = 559.15 : x
  2. Step 2: Convert to fraction form
    1,175.74/1,762.36 = 559.15/x
  3. Step 3: Cross multiply
    1,175.74x = 1,762.36 × 559.15
  4. Step 4: Simplify right side
    1,175.74x = 985,423.59
  5. Step 5: Solve for x
    x = 985,423.59/1,175.74
  6. Step 6: Final answer
    x = 838.13

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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.