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Finding the Fourth Proportional to 857.30, 1,181.05 and 706.95

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Solution

The fourth proportional to 857.30, 1,181.05 and 706.95 is: 973.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.30 : 1,181.05 = 706.95 : x
  2. Step 2: Convert to fraction form
    857.30/1,181.05 = 706.95/x
  3. Step 3: Cross multiply
    857.30x = 1,181.05 × 706.95
  4. Step 4: Simplify right side
    857.30x = 834,933.86
  5. Step 5: Solve for x
    x = 834,933.86/857.30
  6. Step 6: Final answer
    x = 973.91

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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.