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Finding the Fourth Proportional to 754.76, 1,041.51 and 423.18

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Solution

The fourth proportional to 754.76, 1,041.51 and 423.18 is: 583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.76 : 1,041.51 = 423.18 : x
  2. Step 2: Convert to fraction form
    754.76/1,041.51 = 423.18/x
  3. Step 3: Cross multiply
    754.76x = 1,041.51 × 423.18
  4. Step 4: Simplify right side
    754.76x = 440,746.20
  5. Step 5: Solve for x
    x = 440,746.20/754.76
  6. Step 6: Final answer
    x = 583.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.