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Finding the Fourth Proportional to 1,036.71, 1,424.81 and 1,007.55

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Solution

The fourth proportional to 1,036.71, 1,424.81 and 1,007.55 is: 1,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.71 : 1,424.81 = 1,007.55 : x
  2. Step 2: Convert to fraction form
    1,036.71/1,424.81 = 1,007.55/x
  3. Step 3: Cross multiply
    1,036.71x = 1,424.81 × 1,007.55
  4. Step 4: Simplify right side
    1,036.71x = 1,435,569.83
  5. Step 5: Solve for x
    x = 1,435,569.83/1,036.71
  6. Step 6: Final answer
    x = 1,384.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.