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Finding the Fourth Proportional to 1,359.17, 1,875.71 and 769.67

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Solution

The fourth proportional to 1,359.17, 1,875.71 and 769.67 is: 1,062.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.17 : 1,875.71 = 769.67 : x
  2. Step 2: Convert to fraction form
    1,359.17/1,875.71 = 769.67/x
  3. Step 3: Cross multiply
    1,359.17x = 1,875.71 × 769.67
  4. Step 4: Simplify right side
    1,359.17x = 1,443,673.87
  5. Step 5: Solve for x
    x = 1,443,673.87/1,359.17
  6. Step 6: Final answer
    x = 1,062.17

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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.