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Finding the Fourth Proportional to 1,178, 1,626.05 and 712.25

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Solution

The fourth proportional to 1,178, 1,626.05 and 712.25 is: 983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178 : 1,626.05 = 712.25 : x
  2. Step 2: Convert to fraction form
    1,178/1,626.05 = 712.25/x
  3. Step 3: Cross multiply
    1,178x = 1,626.05 × 712.25
  4. Step 4: Simplify right side
    1,178x = 1,158,150.55
  5. Step 5: Solve for x
    x = 1,158,150.55/1,178
  6. Step 6: Final answer
    x = 983.15

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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.