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Finding the Fourth Proportional to 860.11, 1,187.01 and 649.91

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Solution

The fourth proportional to 860.11, 1,187.01 and 649.91 is: 896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.11 : 1,187.01 = 649.91 : x
  2. Step 2: Convert to fraction form
    860.11/1,187.01 = 649.91/x
  3. Step 3: Cross multiply
    860.11x = 1,187.01 × 649.91
  4. Step 4: Simplify right side
    860.11x = 771,449.67
  5. Step 5: Solve for x
    x = 771,449.67/860.11
  6. Step 6: Final answer
    x = 896.92

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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.