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Finding the Fourth Proportional to 1,177.94, 1,625.10 and 705.85

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Solution

The fourth proportional to 1,177.94, 1,625.10 and 705.85 is: 973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.94 : 1,625.10 = 705.85 : x
  2. Step 2: Convert to fraction form
    1,177.94/1,625.10 = 705.85/x
  3. Step 3: Cross multiply
    1,177.94x = 1,625.10 × 705.85
  4. Step 4: Simplify right side
    1,177.94x = 1,147,070.13
  5. Step 5: Solve for x
    x = 1,147,070.13/1,177.94
  6. Step 6: Final answer
    x = 973.79

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