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Finding the Fourth Proportional to 1,012.68, 1,397.50 and 546.93

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Solution

The fourth proportional to 1,012.68, 1,397.50 and 546.93 is: 754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.68 : 1,397.50 = 546.93 : x
  2. Step 2: Convert to fraction form
    1,012.68/1,397.50 = 546.93/x
  3. Step 3: Cross multiply
    1,012.68x = 1,397.50 × 546.93
  4. Step 4: Simplify right side
    1,012.68x = 764,343.73
  5. Step 5: Solve for x
    x = 764,343.73/1,012.68
  6. Step 6: Final answer
    x = 754.77

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Why These Related Problems?

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