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Finding the Fourth Proportional to 1,175.54, 1,762.82 and 482.06

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Solution

The fourth proportional to 1,175.54, 1,762.82 and 482.06 is: 722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.54 : 1,762.82 = 482.06 : x
  2. Step 2: Convert to fraction form
    1,175.54/1,762.82 = 482.06/x
  3. Step 3: Cross multiply
    1,175.54x = 1,762.82 × 482.06
  4. Step 4: Simplify right side
    1,175.54x = 849,785.01
  5. Step 5: Solve for x
    x = 849,785.01/1,175.54
  6. Step 6: Final answer
    x = 722.89

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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.