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Finding the Fourth Proportional to 1,358.94, 1,875.41 and 769.49

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Solution

The fourth proportional to 1,358.94, 1,875.41 and 769.49 is: 1,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.94 : 1,875.41 = 769.49 : x
  2. Step 2: Convert to fraction form
    1,358.94/1,875.41 = 769.49/x
  3. Step 3: Cross multiply
    1,358.94x = 1,875.41 × 769.49
  4. Step 4: Simplify right side
    1,358.94x = 1,443,096.02
  5. Step 5: Solve for x
    x = 1,443,096.02/1,358.94
  6. Step 6: Final answer
    x = 1,061.93

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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.