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Finding the Fourth Proportional to 1,152.88, 1,727.94 and 421.59

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Solution

The fourth proportional to 1,152.88, 1,727.94 and 421.59 is: 631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.88 : 1,727.94 = 421.59 : x
  2. Step 2: Convert to fraction form
    1,152.88/1,727.94 = 421.59/x
  3. Step 3: Cross multiply
    1,152.88x = 1,727.94 × 421.59
  4. Step 4: Simplify right side
    1,152.88x = 728,482.22
  5. Step 5: Solve for x
    x = 728,482.22/1,152.88
  6. Step 6: Final answer
    x = 631.88

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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.