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Finding the Fourth Proportional to 1,171.08, 1,756.62 and 521.64

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Solution

The fourth proportional to 1,171.08, 1,756.62 and 521.64 is: 782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.08 : 1,756.62 = 521.64 : x
  2. Step 2: Convert to fraction form
    1,171.08/1,756.62 = 521.64/x
  3. Step 3: Cross multiply
    1,171.08x = 1,756.62 × 521.64
  4. Step 4: Simplify right side
    1,171.08x = 916,323.26
  5. Step 5: Solve for x
    x = 916,323.26/1,171.08
  6. Step 6: Final answer
    x = 782.46

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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.