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Finding the Fourth Proportional to 860.86, 1,187.90 and 506.89

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Solution

The fourth proportional to 860.86, 1,187.90 and 506.89 is: 699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.86 : 1,187.90 = 506.89 : x
  2. Step 2: Convert to fraction form
    860.86/1,187.90 = 506.89/x
  3. Step 3: Cross multiply
    860.86x = 1,187.90 × 506.89
  4. Step 4: Simplify right side
    860.86x = 602,132.10
  5. Step 5: Solve for x
    x = 602,132.10/860.86
  6. Step 6: Final answer
    x = 699.45

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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.