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Finding the Fourth Proportional to 1,178.93, 1,627.00 and 706.75

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Solution

The fourth proportional to 1,178.93, 1,627.00 and 706.75 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.93 : 1,627.00 = 706.75 : x
  2. Step 2: Convert to fraction form
    1,178.93/1,627.00 = 706.75/x
  3. Step 3: Cross multiply
    1,178.93x = 1,627.00 × 706.75
  4. Step 4: Simplify right side
    1,178.93x = 1,149,876.42
  5. Step 5: Solve for x
    x = 1,149,876.42/1,178.93
  6. Step 6: Final answer
    x = 975.35

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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.