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Finding the Fourth Proportional to 1,154.84, 1,593.72 and 712.42

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Solution

The fourth proportional to 1,154.84, 1,593.72 and 712.42 is: 983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.84 : 1,593.72 = 712.42 : x
  2. Step 2: Convert to fraction form
    1,154.84/1,593.72 = 712.42/x
  3. Step 3: Cross multiply
    1,154.84x = 1,593.72 × 712.42
  4. Step 4: Simplify right side
    1,154.84x = 1,135,394.02
  5. Step 5: Solve for x
    x = 1,135,394.02/1,154.84
  6. Step 6: Final answer
    x = 983.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.