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Finding the Fourth Proportional to 860.19, 1,188.33 and 737.13

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Solution

The fourth proportional to 860.19, 1,188.33 and 737.13 is: 1,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.19 : 1,188.33 = 737.13 : x
  2. Step 2: Convert to fraction form
    860.19/1,188.33 = 737.13/x
  3. Step 3: Cross multiply
    860.19x = 1,188.33 × 737.13
  4. Step 4: Simplify right side
    860.19x = 875,953.69
  5. Step 5: Solve for x
    x = 875,953.69/860.19
  6. Step 6: Final answer
    x = 1,018.33

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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.