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Finding the Fourth Proportional to 860.52, 1,187.54 and 506.46

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Solution

The fourth proportional to 860.52, 1,187.54 and 506.46 is: 698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.52 : 1,187.54 = 506.46 : x
  2. Step 2: Convert to fraction form
    860.52/1,187.54 = 506.46/x
  3. Step 3: Cross multiply
    860.52x = 1,187.54 × 506.46
  4. Step 4: Simplify right side
    860.52x = 601,441.51
  5. Step 5: Solve for x
    x = 601,441.51/860.52
  6. Step 6: Final answer
    x = 698.93

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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.