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Finding the Fourth Proportional to 754.07, 1,041.08 and 505.76

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Solution

The fourth proportional to 754.07, 1,041.08 and 505.76 is: 698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.07 : 1,041.08 = 505.76 : x
  2. Step 2: Convert to fraction form
    754.07/1,041.08 = 505.76/x
  3. Step 3: Cross multiply
    754.07x = 1,041.08 × 505.76
  4. Step 4: Simplify right side
    754.07x = 526,528.89
  5. Step 5: Solve for x
    x = 526,528.89/754.07
  6. Step 6: Final answer
    x = 698.25

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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.