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Finding the Fourth Proportional to 1,358.71, 1,875.06 and 769.33

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Solution

The fourth proportional to 1,358.71, 1,875.06 and 769.33 is: 1,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.71 : 1,875.06 = 769.33 : x
  2. Step 2: Convert to fraction form
    1,358.71/1,875.06 = 769.33/x
  3. Step 3: Cross multiply
    1,358.71x = 1,875.06 × 769.33
  4. Step 4: Simplify right side
    1,358.71x = 1,442,539.91
  5. Step 5: Solve for x
    x = 1,442,539.91/1,358.71
  6. Step 6: Final answer
    x = 1,061.70

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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.