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Finding the Fourth Proportional to 1,178.39, 1,625.99 and 706.83

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Solution

The fourth proportional to 1,178.39, 1,625.99 and 706.83 is: 975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.39 : 1,625.99 = 706.83 : x
  2. Step 2: Convert to fraction form
    1,178.39/1,625.99 = 706.83/x
  3. Step 3: Cross multiply
    1,178.39x = 1,625.99 × 706.83
  4. Step 4: Simplify right side
    1,178.39x = 1,149,294.98
  5. Step 5: Solve for x
    x = 1,149,294.98/1,178.39
  6. Step 6: Final answer
    x = 975.31

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1.5x scale

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.