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Finding the Fourth Proportional to 1,007.41, 1,389.05 and 945.14

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Solution

The fourth proportional to 1,007.41, 1,389.05 and 945.14 is: 1,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.41 : 1,389.05 = 945.14 : x
  2. Step 2: Convert to fraction form
    1,007.41/1,389.05 = 945.14/x
  3. Step 3: Cross multiply
    1,007.41x = 1,389.05 × 945.14
  4. Step 4: Simplify right side
    1,007.41x = 1,312,846.72
  5. Step 5: Solve for x
    x = 1,312,846.72/1,007.41
  6. Step 6: Final answer
    x = 1,303.19

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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.