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Finding the Fourth Proportional to 1,566.93, 2,350.76 and 471.41

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Solution

The fourth proportional to 1,566.93, 2,350.76 and 471.41 is: 707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.93 : 2,350.76 = 471.41 : x
  2. Step 2: Convert to fraction form
    1,566.93/2,350.76 = 471.41/x
  3. Step 3: Cross multiply
    1,566.93x = 2,350.76 × 471.41
  4. Step 4: Simplify right side
    1,566.93x = 1,108,157.66
  5. Step 5: Solve for x
    x = 1,108,157.66/1,566.93
  6. Step 6: Final answer
    x = 707.22

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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.