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Finding the Fourth Proportional to 1,066.11, 1,593.54 and 926.19

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Solution

The fourth proportional to 1,066.11, 1,593.54 and 926.19 is: 1,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.11 : 1,593.54 = 926.19 : x
  2. Step 2: Convert to fraction form
    1,066.11/1,593.54 = 926.19/x
  3. Step 3: Cross multiply
    1,066.11x = 1,593.54 × 926.19
  4. Step 4: Simplify right side
    1,066.11x = 1,475,920.81
  5. Step 5: Solve for x
    x = 1,475,920.81/1,066.11
  6. Step 6: Final answer
    x = 1,384.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.