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Finding the Fourth Proportional to 1,178, 1,625.64 and 712.34

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Solution

The fourth proportional to 1,178, 1,625.64 and 712.34 is: 983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178 : 1,625.64 = 712.34 : x
  2. Step 2: Convert to fraction form
    1,178/1,625.64 = 712.34/x
  3. Step 3: Cross multiply
    1,178x = 1,625.64 × 712.34
  4. Step 4: Simplify right side
    1,178x = 1,158,008.40
  5. Step 5: Solve for x
    x = 1,158,008.40/1,178
  6. Step 6: Final answer
    x = 983.03

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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.